Home
#### Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test
#### Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator
#### Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets

Home » Quadratic Equations » Simple Quadratic Equations

# How to Solve Quadratic Equations

## Have you been wondering how to solve quadratic equations?

## Example 1

## Example 2

## Example 3

## Example 4

## Other Quadratic Equations Lessons You Might Like

# Like This Page?

These equations do look intimidating and more difficult to solve. But... don't worry, I am going to show you several methods for solving quadratic equations.

You can solve a simple quadratic equation using the same rules that you used when solving linear equations. We'll discover that method in this lesson.

You can also solve quadratic equations by using the Quadratic Formula and by Factoring.

For right now, let's focus our attention on solving simple quadratic equations using a few strategies that you are already familiar with.

There is, of course, one new skill that you must apply. That is using square roots. Knowing how to take the square root of a number is essential to this lesson, so please review this lesson if needed.

Let's look at our first example, which is an extremely basic equation. Take note of the use of the square root.

For Example 2, we will look at a two-step quadratic equation. In this example we will get rid of the constant first and then take the square root of x^{2} in order to get x by itself. Take a look.

Now we'll look at an example that it a little more complex because it requires one more step in order to get rid of the coefficient of x^{2}.

And... for one more example - Just to make sure that you really understand this concept before moving on.

Our last example will demonstrate what happens when your last step does not result in a perfect square.

Great Job! You are now prepared to learn how to solve quadratic equations using other methods.

Quadratic Equations Unit

Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Custom Search

Most Popular Pages

*"I'd like to start off by relaying my sincerest gratitude for your dedication in teaching algebra. Your methodology is by far the simplest to follow, primarily because you take the time to include the small steps in between that most other teachers leave out.*

*It helps to know why you are doing something. I am 45 and heading to college to get my BS in Business. I need to brush up, hence the visit to your site. Great Job!"*

Jimmy - United States

*"I stumbled onto your site after I found out that I needed to use some fundamental algebra for an assignment. Turns out I had forgotten some things and your great site helped me remember them like "that" (snap of fingers). The organization of the site let me find exactly what I was looking for so easily. Kudos to you for maintaining such a great resource for students of all ages!"*

Tom - United States

*"I just wanted to write and basically thank you for making such a wonderful website! I'm 20 years old and about to take a basic placement test for college. I wanted to brush up on my Algebra skills and I stumbled upon your site. I'm amazed at how simple you make it and how fast I'm remembering Algebra! I don't remember getting most of the answers right when I had an actual teacher in front of me teaching this. Thanks a lot!"*

Elizabeth - United States

*"I am a pensioner living in South Africa. I stumbled on your website, the best thing that could ever happen to me! Your course in Algebra has helped me a lot to better understand the different concepts. Thank you very much for sharing your skills for teaching math to even people like me. Please do not stop, as I am sure that your teachings have helped thousands of people like me all over the world."*

Noel - South Africa

*This is an amazing program. In one weekend I used it to teach my Grade 9 daughter most of the introductory topics in Linear Relations. I took her up to Rate of Change and now she can do her homework by herself.*

Reg - United States

- FREE Solving Equations E-course
- Algebra Class E-course
- Algebra Class Products
- Algebra Practice Test
- Algebra Readiness Test
- Homework Answer Calculator
- Practice Worksheets

- Site Map
- Pre-algebra Refresher
- Solving Equations
- Graphing Equations
- Writing Equations
- Systems of Equations
- Inequalities
- Functions
- Exponents & Monomials
- Polynomials
- Quadratic Equations
- Algebra 1 Final Exam

- SAT Online Course
- Algebra Cheat Sheets - Very Popular!!
- Algebra Formulas
- Online Resources
- Contact Me
- I Want to Hear From You!
- Algebra Blog
- About Me

? ## Subscribe To This Site

Then why not use the button below, to add us to your favorite bookmarking service?

Copyright © 2009-2015 Karin Hutchinson ALL RIGHTS RESERVED

## Comments

We would love to hear what you have to say about this page!