1. Quadratic Formula & Discriminant

2. It’s called finding the discriminant.
There is a way to tell how many solutions/roots an equation will have.
It’s called finding the discriminant.
The discriminant is a small part of the quadratic formula.

3. Put in standard form first!
 If the answer is POSITIVE, then you will have 2 real roots.
 If the answer is ZERO, then you will have 1 real root.
 If the answer is NEGATIVE, then you will have 2 imaginary roots.
Put in standard form first!

4. Determine the number of roots. Example: 1
2 Imaginary Roots

5. Determine the number of roots. Example: 2
1 Real Root

6. Determine the number of roots. Example: 3
2 Real Roots

7. Quadratic Formula
Everything must be on the same side of the equals sign before solving and a is positive.

8. 1st
Ex: 1 Solve x2 + 9x + 14 = 0
a = 1
b = 9
c = 14
2nd

9. Ex: 2 Solve x2 + x = 1
a = 1
b = 1
c = -1

10. Ex: 3 Solve -2x2 = -2x + 3
a = 2
b = -2
c = 3

11. Class Work
SPW 222 “What do you call it when somebody spends 20 years in the 24th row of a theater?”

12. Homework
p. 93 #1 – 10, 15, 16