1. Warm up – Solve by Completing the Square

2. The Discriminant

3. The Discriminant tells how many & what type of solutions the quadratic has.

4. Put the quadratic in standard form first!

5.  If the discriminant is POSITIVE, then you will have 2 real roots.
 If the discriminant is ZERO, then you will have 1 real root.
 If the discriminant is NEGATIVE, then you will have 2 imaginary roots.

6. Determine the number & types of roots. Example: 1
2 Imaginary Roots

7. Determine the number & type of roots. Example: 2
1 Real Root

8. Determine the number & type of roots. Example: 3
2 Real Roots

9. Solving by the Quadratic Formula

10. Everything must be on the same side of the equals sign before solving
Quadratic Formula
Everything must be on the same side of the equals sign before solving

11. Question #1 Use the quadratic formula to find the zeros.

12. Question #2 Use the quadratic formula to find the zeros.

13. Question #3 Use the quadratic formula to find the zeros.

14. Question #4 Use the quadratic formula to find the zeros.