17 Free Homework Help Websites for Math, Coding, Chemistry, Music, Languages, and English

homework help websites

Are you drowning in homework?

Finding a reliable and trustworthy homework help website is not always easy.

But by the time you finish reading this article, my goal is for you to have some valid homework help options in place.

I’ve put together a list of homework help websites that are free to access and easy to use.

There’s just one thing.

None of them involve interacting with people.

Now don’t get me wrong!

Passively interacting with a website can be helpful, and these homework help websites are LEGIT.

I’m taking a pretty liberal approach to this term homework help.

Contract cheating companies offer homework help and so does the Khan Academy, but these are vastly different approaches to your homework.

Of course, any type of homework help will succeed to a limited extent.

However, sometimes it is easier to start a chat with someone when you really want to learn something.

Or maybe you just want answers. In which case it would be fastest to click the button below.

Get Answers Now

The content you will find below is organized in two ways.

First, you can also view the resources organized by a little secret of Internet marketers called a DA (domain authority) score.

Every website gets a DA score from 0-100. Twitter is 100. A freshly minted blog will be somewhere between 0-5.

Think of it like a digital popularity contest where bots get to decide who wins.

The number depends on a website’s ability to offer valuable targeted content to its users.

This will help you judge the TRUE value of the website you’re considering and not just the hype.

homework help websites

Second, I take into account the kind of homework help resource offered. For example, is this homework help website intended for learning, giving answers, or offering resources?

This question really matters since all of the websites below give homework help.

Let’s get off to the organized list.

Homework Help Websites for Learning

YouTube | DA: 100

YouTube gets tremendous gamer and entertainment traffic, but it turns out that YouTube has some practical learning applications too.

Because of the amazing and entertaining education channels. Chemistry with Melissa Maribel, Patrick JMT, and Physics Girl are but a few of the world class online educators.

The keyword emphasis there is “entertaining.” Their job is to entertain you first, and if they educate you too that’s great.

If you want to learn on YT, it will be way more efficient to search for specific terms than browse by channel.

Wikihow | DA: 92

Wikihow is in-depth and step-by-step, but don’t expect all of the questions to be educational.

Sure, you can get help solving quadratic equations. And you can also get help with how to kiss in a car.

Either way, Wikihow will give you graphically designed no-BS straight to the point answers.

Green check marks on the article mean the answer has been reviewed by an expert with a doctorate, and the most of the content gets edited by at least 23 people.

Khan Academy | DA: 91

Everyone knows about the Khan Academy.

What some people don’t know is that they have an app for 2-5 year olds.

If you’re a gamer, KA works great as it measures energy points and lets you earn badges.

homework help websites

Besides their fame for math and science, KA also has art videos of professors discussing famous paintings at museums.

KA enjoys a second to none reputation in expanding a world education to everyone for free.

But you won’t get answers from them.

Codecademy | DA: 87

If you want to learn coding for free, you can use the entire Codecademy site for 7 days.

After that, the site will force you to convert into a paid user.

You’ve been warned!

Languages to learn include HTML & CSS, Python, JavaScript, Java, SQL, Bash/Shell, Ruby, and C++. You’ll find world-class content here.

Sparknotes | DA: 81

If you haven’t heard of Sparknotes, you just discovered the most powerfully useful English Literature resource on the Internet.

They serve way too many ads, but they know their stuff and deliver detailed content about popular literature works.

Their fantastic No Fear Shakespeare resource places the original 16th-17th century text alongside modern translations.

That makes it a whole lot easier to understand.

Duolingo | DA: 81

Duolingo offers free AI-based learning for complimenting your language studies in class.

Don’t expect it to singlehandedly supplement your classwork in the given language since it can’t be customized to fit in specific vocab words.

But you CAN focus specific language areas like phrases, plurals, and vocabulary areas (food, home, etc.).

I haven’t found a way to focus on specific parts of grammar.

Instead, it will measure your competency and then put you through its program based on how you test.

Ableton Learning Music | DA: 69

The beauty of Ableton comes its extremely interactive interface.

You can click everything. This website is a free candy store for making sound.

Best of all, you immediately hear the music. This way there is no chance that the concept will get lost in abstract terminology.

homework help websites

It’s also easy to click through the site without understanding what is happening.

Be prepared to play with this site to help master something specific like chord inversions and you will do well.

Anki | DA: 55

Anki works as a series of flashcards to help you memorize the topics that you are trying to learn.

You can make your own flashcards.

There are also free flashcards, and this option works best for foreign language and science (especially pre-med) students.

The app costs $25, but you can use it for free on your laptop.

Honestly, I bought the app and I don’t think it is worth it since I never study on my phone.

Homework Help Website Answers

Reddit | DA: 98

The r/HomeworkHelp subreddit serves lots of answers.

The mods specifically ban “do this for me” posts, but I still see many direct questions.

This is definitely worth a shot if you have something basic and straightforward to offer.

Quora | DA: 92

The following pages have strong followings on Quora and are listed in order of popularity:

  1. Mathematics Homework Questions
  2. Homework Questions
  3. Chemistry Homework Questions

Quorans tend to be a little snarky about giving away answers, but there are people there who want to help.

Even better than Reddit, you can check their account to see their background.

Like YouTube, I would recommend to search by your question.

The search algorithm is tougher to use than YT, but with some key word alterations you should be able to find what you’re looking for.

Wolfram Alpha | DA: 86

Stuck on an equation? Wolfram Alpha covers math as well as science and technology, society and culture, and everyday life.

Think Wikipedia for Math and you get how this site works.

The designers of Wolfram Alpha do a terrific job. The site offers facts, numbers, and dates in as few words as possible.

However, this is a paid service if you are looking for work shown.

Homework Help Website Resources

Google Scholar | DA: 91

Google scholar helps you find the articles that you want later on in their full form (see Sci-hub).

I highly recommend showing results based on date of publication and sorting by relevance.

Many teachers don’t like sources that are older than five years.

Once you find what you want, make sure to copy+paste that DOI somewhere.

Grammarly | DA: 77

Grammarly will edit your paper for the following:

  • Spelling
  • Grammar
  • Punctuation
  • Conciseness
  • Formality
  • Sentence Variety

It will even tell you if you plagiarized portions of the paper.

homework help websites

However, the plagiarism checker is not as accurate as Turnitin since it does not check other papers and journal articles.

The editing, however, works at a high quality level.

Sci-Hub | DA: 55

Sci-hub is a Russian website that lets you download academic papers for free.

It’s also controversial because it mass distributes paid content.

So will you get in trouble for using this? In the USA, the copyright owner can sue (typically for money damages or injunctive relief) an infringer.

The criminal laws are aimed at the reproducer and/or distributor, however.

Also, according to Pablo Markin at Open Science, publishing company Elsevier got blocked in Sweden after it legally required internet service providers to make Sci-Hub locally inaccessible.

Why use Sci-hub in the first place? Speed and fairness.

If you have the DOI of an article, you can usually find it 10x faster on Sci-hub than you can on any online database.

If you consider that professors do not make any money off of the articles they publish anyway, using Sci-hub makes a lot of sense.

LibGen | DA: 55

Much of the above commentary on Sci-hub applies here.

Both websites originate in Russia.

Both offer users copyrighted content and mass distribute it.

In this case, the content consists of books, not articles. You’ll want the ISBN number ideally, but you can always use the title to find an alternate edition.

Besides saving money on your textbooks, Libgen contains access to millions of books you can get in PDF and EPUB formats.

Symbolab | DA: 49

This is a free graphing calculator if you don’t have yours or don’t own one.

It is also offered as an app for Android and iOS, which provides an additional layer of convenience.

They even give you a Cheat Sheet of formulas in Algebra, Trigonometry, Limits, Derivatives, and Integrals.

You can download it in PDF form: get the cheat sheet 🙌

MMSPhysChem Stoichiometry Calculator | DA: 28

This is the simplest site on the list, but that might make it one of the most directly useful too.

Look no further if you want help on stoichiometry calculations.

Redox reactions, limiting reactant problems, and chemical equations containing hydrates can not be solved using this system at this time.

So that’s it for my free options.

If you’re still wanting to truly deepen the grasp of your homework, Studygate can help with that.

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The tools you need to succeed, right at your fingertips
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You can get a tutor to chat about your homework and help answer your question directly. It’s that simple.

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CPM Homework Help for Hands-On Learning

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College Preparatory Mathematics are better known as CPM homework help strategies designed to directly teach students the process of solving math equations. This is built to occur in an interactive setting instead of having a student passively absorb what is being shared by the teacher.

Learning mathematics will allow you to take your career in any direction that you want and get you ahead of your peers trying to get into the top Ivy league institutions. If you want help with CPM homework at CC2, CC3, or Integrated 1 levels, just post a question on our homework help service and ask for help to overcome the obstacles.

As a top learning platform for CPM homework help based out of Los Angeles, studygate.com can give you any kind of cpm help you need. Our student support team stands by to assist with any questions you have and our tutors are available 24/7. So if you want help in algebra or geometry at the CC2 and CC3 levels, this is the place to start.

Need Homework Help? Click Here!

For more on CPM, see this article by one of our founders: Everything You’ll Ever Need to Know about CPM Homework Help

Learn on Your Terms with Real CPM Homework Help

If you want a competent tutor available to give CPM homework help, don’t worry any more. Your problems can all be solved in one place. Our tutors respond within minutes when you have CPM questions. If you have questions about how this process works, here are the key features:

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  2. Understanding matters most: Connect with our tutors for CPM homework help in geometry-related topics. This will ensure that you get timely support. We do not offer support just to give away answers. Instead, we think that the best answer come with clear explanations. This helps decipher the true meaning of a CPM question and why it matters.

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Get in Touch with StudyGate

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Your CPM homework challenges will be solved with geometry help, but there are also other resources available:

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The Ultimate College Algebra Guide

college algebra guide studygate

3 minute read

We love this basic college algebra guide simply because the answers aren’t always obvious in math. So here’s a go-to library of resources for you to get bigger results and better grades.

Use the table of contents below to navigate through the guide:

How to Factor Polynomials

How to Turn a Decimal Into A Fraction

How to Solve a Linear Equation

How to Solve a Linear Function

Quadratic Equation: What All Those Letters Mean

For a quick-reference PDF of this information, click here.

College algebra can really help you live life with more success. Not only does it challenge you to expand your mind, but college algebra introduces life skills as well. For example, it can give you a guide to measure long it will take to repay a college loan.

But if you just want to pass the class right now, we’ve compiled a step-by-step college algebra guide to making your algebra homework as easy as possible.

Need Homework Help? Click Here!

How to Factor Polynomials

If there is a constant in college algebra, it is the letter X. In algebra, X is the source of many a mental math meltdown. But with this college algebra guide, it doesn’t have to be that way! Here are the steps to factoring polynomials:

  1. Put x factors in descending order of x based on negative and positive numbers as well as the factors. Negative and big factors come first.
  2. Simplify them by adding like-factors together: all of the x2, then all the x, then the numbers without x.
  3. Look for common factors in all groups. For example, if these groups all have even numbered coefficients know they are divisible by four.
  4. Use FOIL to break down the polynomial even further. This stands for “first, outside, inside, last”.

Watch us factor some easy and more complex polynomials using this process.

Get Polynomials Factored

How to Turn a Decimal Into A Fraction

This process is pretty straightforward and we compiled the steps for figuring it out in college algebra and beyond:

  1. Count the number of digits in the decimal.
  2. Move the decimal point to the right until it becomes a whole number. This is the numerator.
  3. Add one “0” for ever digit you counted in step 1 and make it the denominator after 1. Ex: 2 decimal digits means 100.
  4. Reduce the fraction.

Check out this guide to see turning a decimal into a fraction with real examples.

Factor Fractions Now

How to Solve a Linear Equation

  1. Isolate the variable you’re instructed to solve for.
  2. Everything you do to one side must be done to the other.
  3. Simplify your terms and check your work.

If you’re new at this, the following article explains the three steps to solve a linear equation with more detail.

Get Linear Equations Help!

How to Solve a Linear Function

Basically, isolate your variable, do everything you did to one side of the equation to the other, and simplify your terms to their smallest values.

  1. Make sure you’re actually looking at a linear function. It always starts with “f(x)=“.
  2. Substitute variables for values.
  3. Solve for your variable and check your work.

college algebra guide slope-intercept studygate






Here is a breakdown of solving linear functions with graphics.

Solve Linear Functions

Quadratic Equation: What All Those Letters Mean

Even mathematicians admit that the quadratic formula can look messy and overwhelming. Here’s how we break it down.

  1. When you see c, you are looking at a quadratic.
  2. The “x” corresponds with a specific line on a graph, usually the horizontal line.
  3. The vertical line of the graph, or “y” is understood as the “0”.
  4. The “a”, “b”, and “c” elements are simply place marks for numbers.

college algebra guide quadratic formula studygate

Many quadratic equations can be worked out in your head. Here’s how.

If you’ve benefitted from using this college algebra guide, this is the end. If you’re still stuck, click below.

Get Quadratic Equations Help

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Algebra Homework Help: How to Factor Polynomials

How to Factor Polynomials

If there is a constant in the math universe, it is the letter X. In algebra, X is the source of many a mental math meltdown. “Finding ” is the instruction in every single problem. Learn here to factor polynomials.

But X can be fun! We can play with it, move it around, multiply it, divide it, and cancel it out. X really lets us see the relationship between numbers and how math theorems work.

Totally Awesome, I know!

But I know the only reason you’re here is to learn about polynomials and what to do with them.

Factoring polynomials is a crucial step to using the quadratic formula. Factoring polynomials is easier, though, and faster, too.

Let’s look at some X factors.

3x, x, -x2, 5x2, 5x, 7x, 20, -4

The first thing we do is put them in descending order of x.

-x2, 5x2, 3x, x, 5x, 7x, 20, -4

We can simplify them by adding like-factors together: all of the x2, then all the x, then the numbers without x

4x2 + 16x + 16

The next step is to look for common factors in all three groups. For example, these groups all have even numbered coefficients, so we know that 2 is a factor. Even more significant, we can see that all these integers are divisible by 4!

Take out the four from all of them.

4(x2 + 4x + 4)

We’re almost there!

Let’s look at (x2 + 4x + 4) . Can we break this down anymore?

The answer is yes! With the FOIL system!

FOIL stands for “first, outside, inside, last”. This is a cute way of saying that we got this expression by multiplying two parts separate factors together. Each of these factors is called a Binomial. (This is because each factor has two parts: an unknown and a number).

Here we are:

(a + b) X (c + d) = (x2 + 4x + 4) .

Basically, we end up with: ac+ ad + bc + bd. When we add them all together, we get (x2 + 4x + 4).

In this case, bd = 4, the last part of our expression, while ac = x2, the first part of our expression. The other two parts, ad+ bc, need to equal 4x.

We know that ac = x2, so A and C must be x. So that’s easy.

The hard part is figuring out ad and bc. But to solve that, we can look to bd. What are factors that, when multiplied together, give us 4? 4 breaks down to 1, 2, and 4. That means B or D must be 1, 2, or 4.

*****Let’s try 1 and 4. Plug them in and see what happens
(x + 1)(x + 4)

Use FOIL to multiply them together: First, Outside, Inside, Last.

We get x2 + 4x + x + 4

Add them together: x2 + 5x + 4 ≠ x2 + 4x + 4

Yikes! That didn’t work.****

Then it must be 2. This actually makes sense, since 2 + 2 = 4 or 2x + 2x = 4x!

Let’s double check

(x +2)(x + 2) → x2 + 2x + 2x + 4 → x2 + 4x + 4 Bravo!

We can even make this simpler. Since (x + 2) is the same, we can just square the binomial (x + 2)2

So the final answer is 4(x + 2)2

Here’s a rough one: 3x3 + 15x2 – 36x

First thing is to take out the greatest common factor: 3x Check it and see!

3x(x2 + 5x – 12)

Now, we can FOIL the larger expression.

****Here’s a trick: look at the coefficients in the middle (5) and end (12). You know that two factors multiplied together will bring you the end number, but they must be added/subtracted to form the middle number 5.

What are the multiplication factors of 12? 1 and 12, 2 and 6, and 3 and 4. None of these sets of factors, when added or subtracted, give you 5.

If you don’t believe me, try finding the binomials through trial and error. You’ll be at it forever!

Rats! We’ve been “foiled!” We can’t break this down further!

The answer is
3x(x2 + 5x – 12)

One more: -2x2 + 17x – 36

First of all, are there any common factors? Unfortunately, no. One number is odd, so 2 is not a factor in all three. The last number has no x, so that can’t be a factor, either.

We’ll just proceed to the FOIL, then.

This is a bit hard, since we have THREE GROUPS of numbers to deal with: 2, 13, 36. But we can still do this! Just take your time.

What are the factors of 36 that can add up to 36?

36 is broken down to: 1 and 36, 2 and 18, 3 and 12, 4, and 9, and 6 and 6.

None of these really add up to 17, but we have to consider the 2. There are two factors that make up 2: 1 and 2. Can we multiply any of the factors that make up 36 by 1 and 2, and then add them together to get 17?


Look at factors 4 and 9. They match up with 1 and 2. Multiply and add the sums:

1 x 9 = 9
2 x 4 = 8
9 + 8 = 17!!! Hooray!

Since the 2 and the 4 are multiplied together, they must be in separate factors: (2x, 9)(x, 4)

Now to determine which ones are positive and negative.

This might sound harder than it is.

We know that two positives multiplied together form a positive. (5 x 4) = 20

Two negatives multiplied together form a positive. (-7 x -9) = 63

A positive and negative multiplied together form a negative. (-8 x 2) = -16

Go back to the original equation and our factors:
-2x2 + 17x – 36

(2x, 9)(x, 4)

We know the first and last coefficients are negative. That means one integer in each binomial must be negative and one must be positive so that, when multiplied, we get negative numbers. But we also know that the middle coefficient is positive.

To get the middle coefficient we need to make sure they are positive. That’s the only way they can ADD up to a positive 17. We need a 9x and an 8x. We can multiply two positives together or two negatives together to get positives.

Here’s the answer:
(-2x + 9)(x – 4) We can use trial and error by multiplying all the factors and adding ‘em up.
-2x2, 8x, 9x, -36.

-2x2 + 17x – 36
(-2x + 9)(x – 4)

Well done!

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Dividing Decimals: How to Turn a Decimal Into A Fraction

How to Turn a Decimal Into A Fraction

Three blind mice. Three blind mice.

See how they run. See how they run.

The Farmer’s Wife went after them with a carving knife

And divided them up for stew that night.

Filling eleven pots of rice.

Okay, that might not be the loveliest example of dividing decimals and converting into fractions and vice versa, but turning decimals into fractions is a useful skill to have. Plus, it’s super easy!

turn a decimal into a fraction

Dividing Decimals Example # 1.

Let’s take any decimal: 0.65

We know that 0.65 is more than half (0.5) but less than three quarters (0.75). But what is the exact fraction?

Let’s place the number over 1 in a fraction:

Then, count the number of digits in the decimal. We have 2 That means we must multiply it by that many place holders.

So we multiply both sides by 100
(0.65/1) X (100/100)

This gives you your fraction!

From there, we can reduce it to the simplest number possible:

Your answer is 13/20

Dividing Decimals Example # 2.

Let’s take a more complex number:


Set it up:

(0.525/1) X (1000/1000) = 525/1000

Then simplify it!

(525/1000) ÷ (5/5) = (105/200) ÷ (5/5) = 21/40

Your answer is 21/40

Dividing Decimals Example # 3.

Let’s take a very complex number:


Don’t be intimidated. This is a piece of cake!


Count the number of digits: 14

Multiply it by that number of place holders:


Then reduce the number by dividing both sides by 2…

54587123658654/100000000000000 = 27293561829327/50000000000000

27293561829327/50000000000000 is the answer!

Dividing Decimals Example # 4.

What if you have a mixed number?  Like, 5.623?

First, ignore the whole number. Set 5 aside.

Then, work with the decimal. 0.623

You can do it! Remember to count the number of digits after the decimal?

(623/1) X (1000/1000) = 623/1000

dividing decimals

Let’s go back to the Farmer’s Wife.

She had 3 mice and eleven cups of stew

3 ÷ 11 = 0.273

What is the fraction of mouse per stew?


The number can’t be reduced further. This is the fraction of mouse per cup of stew!

Time for lunch!

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What is a Linear Function? How to Solve a Linear Function?

how to solve linear functions

If you’ve previously learned how to solve linear equations, you’re ready to move onto solving linear functions. They’re very similar, and the process also uses easy steps, so if you’re solving linear equations in your sleep, functions will be a breeze!

Step 1: Determine that you are, in fact, looking at a linear function.

In case you didn’t already know, a linear function will always begin with f(x) =, followed by the rest of the equation. It’s easy enough to remember, since the f stands for function. A linear function often closely follows the slope intercept formula you learned earlier in Algebra, which is y = mx + b.

slope intercept_how to solve linear functions

Step 2: Substitute variables for values as instructed.

When you’re first introduced to linear functions, you’ll most likely be given a value to substitute for your variable. Other functions will ask you to find the equation of a line, and then solve the corresponding function. In either case, substitute the values you’re given to solve for your variable.

Step 3: Solve for your variable and check your work.

Solve the function just like you would a linear equation; isolate your variable, do everything you did to one side of the equation to the other, and simplify your terms to their smallest values. You can check your work by solving the function with that value you’ve gotten. Just like with a linear equation, your function should look exactly how you found it if you’ve solved it correctly.

If this process isn’t as easy as you thought it would be, take a step back and refresh your memory on how to solve linear equations. It’s totally okay if you need more practice. Once you’ve mastered linear equations, solving linear functions will be the easiest thing you’ve ever done!

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How to Solve Linear Equations: It’s as Easy as 1,2,3!

how to solve linear equations_step by step

Linear equations are one of the first concepts you’ll be introduced to in Algebra I. If you’re like me, and you’ve struggled a good bit in your math journey, you may not find solving them very enjoyable or practical. However, as a longtime math survivor I’m here to tell you that’s absolutely not the case; engineers, architects, and surveyors of all kinds solve linear equations almost every day, and once you get the method down, you’ll forget why you had trouble in the first place. Linear equations can have one variable or many, but the method for solving linear equations of all types falls into three easy steps.

Solve Linear Equations Step 1: Isolate the variable you’re instructed to solve for.

how to solve linear equations_understand solutions to linear equations

If you’re faced with an equation that contains multiple variables from t to z, fear not; you’ll always start by trying to find the value of just one of them. Isolate your chosen variable on one side of the equation by going through your basic mathematic functions: add, subtract, multiply, and divide. You might use all four or just one, as long as your variable remains by itself on one side.

Solve Linear Equations Step 2: Everything you do to one side must be done to the other.

In order to keep your equation balanced and accurate, any functions you’ve done on one side of the equation must be done to the other. Remember that a positive number becomes negative when crossing to the other side, and the same goes for negative numbers. A misplaced positive or negative sign can really create chaos in your equation.

Solve Linear Equations Step 3: Simplify your terms and check your work.

how to solve linear equations

If you have any like terms, combine them. If the variable you’re solving for is no longer singular, divide it by itself until it is. When you think you’ve solved for your desired variable, use its determined value to work back through the equation to make sure you’ve solved it correctly. If you have, you’ll end up with the same equation you started with.


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What to Expect from College Algebra and Why this Subject Actually Matters?

college algebra_math homework help

When I was a little kid, math was just numbers. Add, subtract, multiply, and divide. Easy.

Then they started adding decimals. That was okay. I could divide a candy bar or an apple in half or thirds. Coins were decimals of dollars. It still made sense.

Then they added letters. Then things that were not letters or numbers. Like  the all-time favorite, Alebra 1

Like, whatever.

At that point, I gave up. Who cares and when will I ever need to learn this junk? Why study algebra in college? I was going to be a writer. Who needed Algebra 1, or the “New Math” version of Algebra? Like, when will I ever need to master a polynomial function? I deal with hyperbole, not hyperbolas.

It turns out that I did.

Let’s backtrack and look at the other side for a bit. Some critics say that algebra is holding back students. Kids are likely to drop out because they can’t pass proficiency exams, and algebra is the main reason why. Another article asks if algebra can help you understand the federal budget.

The answer is yes, it can.

Let’s address both points at once.

Algebra might not be completely applicable in life. Just like biology, or history, or poetry. But algebra does two things that are powerful and wonderful.

College Algebra challenges students to expand their minds.

college algebra_why it matters

Yeah, expansion can hurt. But like history or science, algebra introduces students to new ideas that they never considered. Algebra allows students to see the world in new ways—which may turn some off, but others who like seeing how things fit together in abstract ways are amazed at how the relationships between numbers change the world around them. Algebra is nothing if not an exercise in brain power.

College Algebra introduces life skills.

Do you need to know how to find a slope of a line? (Sure, you do! See my other blog! ). Or how about simply graphing X and Y? Plotting points is a basic tool in statistics to find out trends, conduct surveys, and understand data. If you’re going into marketing, finance, or anything that requires a chart, yeah, you need algebraic skills.

college algebra_math help

Not every skill is super useful. Quadratic formulas probably aren’t for everyone. But solving a quadratic formula involves breaking problems down into simpler puzzles, one step at a time. You end up dissecting a problem by looking at the sum of its parts. Want to see if a refinanced mortgage works for you? Check it out and figure it out, one step at a time.

College Algebra 1 - Math Help
And, yes, even as a writer, I needed algebraic skills. Algebra teaches students how to notice patterns in speech, description, and plotting. Poets count the number of beats and quantify them, and math can even inspire a story or two (Alice in Wonderland, anyone?).

So what should you expect from college algebra? A whole new world that is challenging, exciting, frustrating, and even beautiful in its aesthetics.

What do you get out of it? Depends on what you’re looking for. If it’s an equation, you get out what you get in. But the = sign suggests you get more than the sum of the parts.

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How to Solve a Quadratic Equation with the Quadratic Formula

what is the quadratic formula

3 minute read

Even mathematicians admit that the quadratic formula can look messy and overwhelming.

Try not to allow the multitude of letters, numbers and signs distract you from the importance of this very critical equation.

But what is the quadratic equation used for in real life?

Well, not only is it highly useful to you as a student studying math topics, but it has relevance in other subject areas, including physics and engineering.

Rather than see the quadratic equation as an overwhelming problem, let’s break it down step by step.quadratic formula

What the Quadratic Formula Means

When you see c, you are looking at a quadratic.

The “x” corresponds with a specific line on a graph, usually the horizontal line.

The vertical line of the graph, or “y” is understood as the “0”. The “a”, “b”, and “c” elements are simply place marks for numbers.

what is the quadratic formula. how to use it

A quadratic always gives you two answers for “x” so you can quickly see where they fall on the graph when “y” is zero.

An Easy Example for You to Work Through

Some quadratics are very clean; you may even be able to work them out in your head.

Here are some quadratic formula examples.

x^2 – 3x – 4= 0 works out to (x – 4) x (x + 1) = 0. This means your two “x” answers are “4” and “-1”.

Knowing this, you could plot those places on a graph and connect them with a curving line called a parabola.

The high point, or vertex, of the parabola will correspond with the “x” line at -b/2a.

For our sample above, with “b” as “-3” and “a” as “-4”, the result is 3/-8 or, in decimals, “-.375”.

We can plug “-3/8” into the original equation and find that y = (-3/8)^2 + 9/8 – 4.The answer comes to “-2.75”.

Thus, we know the vertex of our quadratic equation’s corresponding parabola is at coordinates “-.375, -2.75.”

Khan Academy does a great job of explaining how to work through basic equations in this video.

What Happens When Quadratics Are Complicated?

Our sample quadratics and corresponding parabola was relatively uncomplicated.

However, when you have quadratics that don’t come together easily, you must use the quadratic equation.

The quadratic formula looks quite complex but is just another way of looking at ax^2 + bx + c = 0.

Consequently, it involves solving a top half, -b +/- the square root of b^2 – 4ac, and then dividing the top half by 2a.

This will give you the answer to “x” just as well as ax^2 + bx + c = 0.

We’ll look at the problem above to make sure it works:

quadratic formula

Our quadratic: x^2 – 3x – 4= 0

“-b” equals “3”

“b^2” equals “9”

“-4ac” equals “16”

“2a” equals “2”

Consequently, our answer is x = 3 +/- the square root of 25 divided by 2, or x = 4 and x = -1. These are the exact solutions we found at the beginning of our journey.

Give Yourself Time to Understand the Quadratic Formula Steps

For most people, mastering quadratics is a process that requires a lot of time and energy.

Plan to work out problems on your own time, and you’ll start to get faster and more accurate.

Then, you can begin to apply the quadratic formula to plenty of real-life scenarios, from the height of a baseball tossed into the air at a particular velocity, to the time it takes a missile launched at a certain rate to hit its target.

Sounds Easy, Right?

Maybe you mostly get this but want to talk to someone about a specific problem you’re working on. Or maybe your quadratic formula worksheets are still confusing.

We’ve got a solution for you.

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Updated February 16, 2019 with an infographic

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