1. 9.4 Solving Quadratic Equations
Standard Form:
How do we solve this for x?

2. 3 Methods:
Isolate x2, and take the Square Root
Factor, split, & solve
Use the Quadratic Formula

3. Ex 1) Solve for x:
2x2 – 32 = 0

4. Ex 2) Solve for x:
– x2 + 5 = 0

5. Ex 3) Solve for x:
x2 – 72 = 0

6. Ex 4) Solve for x:
2x2 + 7x = –3

7. Steps to solve by Factoring:
Rewrite in Standard Form
Factor
Use the Zero Product Property
If ab = 0,
then a = 0 or b = 0.

8. 9.4 Solving Quadratic Equations
Solve for x: 1) 2)
How do we solve this?

9. The Quadratic Formula
If,
Then,

10. Steps:
Rewrite in Standard Form
Identify a, b, & c
Substitute a, b, & c into Quadratic Formula and Evaluate.

11. Ex 1: Solve for x.

12. 1st Rewrite in Standard Form
2nd Identify a, b, & c

13. 3rd Substitute a, b, & c into Quadratic Formula and Evaluate.

14. 3rd Substitute a, b, & c into Quadratic Formula and Evaluate.

16. Ex 2) Solve for x:
3x2 – 5x – 1 = 0

17. Homework: