1. Table of Contents Solving Quadratic Equations – The Discriminant The Discriminant is the expression found under the radical symbol in the quadratic formula. Discriminant =

2. Table of Contents Three possible solutions of a quadratic equation. Two Different Real Solutions Case I: (discriminant is positive) Example: Discriminant

3. Table of Contents One Repeated Real Solution Case II: (discriminant is zero) Example:

4. Table of Contents Two Different Complex Solutions Case III: (discriminant is negative) Example:

5. Table of Contents Two Different Complex Solutions Case III: Case I: Two Different Real Solutions Case II: One Repeated Real Solution Summary

6. Table of Contents Example 1: Move all terms to left side Determine the type and number of solutions for the quadratic equation. Determine the values of a, b, and c

7. Table of Contents Determine the value of the discriminant Two Different Real Solutions

8. Table of Contents