Online College Courses for Credit

Solving For Quadratic Equations

Solving For Quadratic Equations

Author: Kendra Wheeler

To help explain how to solve for x using the quadratic formula.

Videos and images that help explain quadratic equations and the quadratic formula. Explaining what the quadratic formula solves for. Explaining what a vertex is and how to solve for a vertex given your points.

This learning packet was co-produced with Craig Nelson

See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

Begin Free Trial
No credit card required

37 Sophia partners guarantee credit transfer.

299 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 32 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.


Terms To Know

• Polynomial –  A polynomial is an expression that is constructed from variables and constants, and also includes coefficients and exponents.

• Coefficient – A coefficient is attached to a variable and is to be multiplied by the variable. 

• Vertex - Highest or lowest point on a parabola.

• Quadratic Equation - A second degree polynomial.

• Quadratic Formula - Used to solve a quadratic equation for x in place of factoring or graphing.

• Denominator - The bottom term of a fraction.

Quadratic Equation

What does the quadratic formula solve for?

Steps to Quadratic Formula

Quadratic Example Problems

Kendra going through two quadratic formula problems.

Graphing a quadratic equation

Practice Problem 2

Step-by-step guide to solving for x in a quadratic equation using the quadratic formula.

Practice Problem 1

Step-by-step guide to solving for x in a quadratic equation using the quadratic formula.

Website reference

Here is a great website to go to and check our answers. Use this website as a reference to solving the problems.