1. 9.2 Solving Quadratic Equations using square roots

2. Determining How Many Solutions of x² = d
When d > 0, 2 real solutions
When d = 0, 1 real solution
When d < 0, 0 real solutions

3. How Many Solutions
1.) 2x²-32 =0 2.) 5x² +8 =8
x² + 8 =5

4. To Solve in the form ax² =k
Divide both sides by a
Take the square root of both sides
Remember to use +
Simplify the square root

5. Example 1: Solve

6. Example 2: Solve

7. To solve in the form (x +a)²=k
Take the square root of both sides
Solve for x

8. Example 3: Solve +5 +5

9. Example 4: Solve -2 -2

10. Example 5: 4(x-3)²=9

12. Homework
TB Page 466 (2-32) even