Quadratic Formula

When in doubt, use the quadratic formula! This formula allows us to solve any type of quadratic equation.

If the equation can be factored, factoring is usually the quicker method. However, not all equations can be factored easily. In this case, the quadratic formula always works. It just takes a little more time due to the heavy computation. But... it's not hard!

The Quadratic Formula

quadratic formula




















Once you substitute the values for a, b, and c, you'll just need to use some basic math to arrive at the solution. It's really pretty easy. Take a look!


Example 1

quadratic formula example


Let's take a look at one more example. We'll look at a real world application using quadratic equations.



Example 2

quadratic formula real world problem
quadratic formula real world problem


Are you ready to try one?




Practice Problem

quadratic equations practice problem
quadratic formula practice problem











Answer Key

quadratic formula solutions


Great Job! Now you can solve ANY quadratic equation.


Introduction to Quadratic Equations

  • Definition of Quadratic Equations

  • Square Roots

  • How to Solve Quadratic Equations

  • Using the Pythagorean Theorem!

  • Solving Quadratic Equations by Factoring

  • Using the Quadratic Formula   You are Here!

  • Graphing Quadratic Equations   Your Next Lesson!


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