1. Find a if: a2 + b2 = c2
1.) c=10, b= 8
2.) c=20,b=16
3.) a2+152=172
4.) a2+242=252
Pythagorean
Theorem

2. 1.) Find a
a2 + b2 = c2
a = 102
a = 100
a2 = 36
a = 6

3. 2.) Find a
a2 + b2 = c2
a = 202
a = 400
a2 = 144
a = 12

4. 3.) Find a
a2 + b2 = c2
a = 172
a = 289
a2 = 64
a = 8

5. 4.) Find a
a2 + b2 = c2
a = 252
a = 625
a2 = 49
a = 7

6. To be able to solve a Quadratic Equation by finding square roots.
Today’s Objective
To be able to solve a Quadratic Equation by finding square roots.

7. Expression with radicals
Evaluate b2 - 4ac When a =1, b = -2, c = -3
(-2)2 - 4(1)(-3) =
16 = 4

8. Expression with radicals
Evaluate b2 - 4ac When a = -2, b = 8, c = -8
(8)2 - 4(-2)(-8) =
0 = 0

9. Expression with radicals
Evaluate b2 - 4ac When a = 4, b = 5, c =1
(5)2 - 4(4)(1)
9 = 3
Your Turn

10. Expression with radicals
Evaluate b2 - 4ac When a =12, b= 13, c=3
(13)2 - 4(12)(3)
25 = 5
Your Turn

11. Solving Equations with a radical
Solve for a
a2 = 81
a = 81
a =  9
Review

12. Solving Equations with a radical
Solve for a
a2 = 5
a = 5
a =  5
Example 2

13. Solving Equations with a radical
Solve for a
a2 = 0
a = 0
Example 3

14. Solving Equations with a radical
Solve for a
a2 = -5
a = -5
No Solution
Example 4

15. Solving Equations with a radical
Solve for a
1.) a2 = 64
2.) a2 = 37
3.) a2 = 0
4.) a2 = -25
Your Turn

16. Solving Equations with a radical
Solve for a
1.) a2 = 64
a = 8, or -8
2.) a2 = 37
a = 37, or

17. Solving Equations with a radical
Solve for a
3.) a2 = 0
a = 0
4.) a2 = -25
No Solution

18. Solving Equations with a radical
3x = 0
3x =
3x2 = 48
3x2/3 = 48/3
x2 = 16
x =
x =  4

19. Solving Equations with a radical
2.) 3x2 = 12
3.) 2n2 = 50
4.) 3a = 36
Your Turn

20. Solving Equations with a radical
2.) 3x2 = 12
a =  2

21. Solving Equations with a radical

22. Classwork Worksheet 9.2 (1-12)
homework page 455 (31-34) & page 461 (9-20)