1. The Discriminant

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

3. Put the quadratic in standard form first!

4. Foldable Notes Positive ZerO Negative Discriminant
Fold your paper over (top to bottom leaving about an inch at the bottom).
Positive
ZerO
Negative
Discriminant

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. 2 real
Roots
ZerO
Negative
Discriminant

7. One real
Root
Positive
Negative
Discriminant

8. 2
imaginary
Roots
Positive
ZerO
Discriminant

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

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

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

12. Solving by the Quadratic Formula

13. 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

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

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

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

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

18. Homework
Solving Quadratics WS