1. 6.4 Completing the Square The Square Root Property

2. What does c equal to make the quadratic equation a prefect square x 2 + 16x + c ;( x + ) 2

3. Square Root Property Solve x 2 – 16 = 0 Factor into (x + 4)(x – 4) = 0 So the answers are 4, -4 This can be solve another way There are always two answers.

4. Solve Using factoring and Square Root property x 2 + 16x + 64 = 36 (x + 8)(x + 8) = 36 (x + 8) 2 = 36

5. Solve Using factoring and Square Root property (x + 8) 2 = 36

6. Solve x 2 – 10x + 25 = 12 Factor

7. Solve x 2 – 10x + 25 = 12 Factor

8. Solve x 2 – 10x + 25 = 12 Factor

9. Complete the Square In case the quadratic equation is not a prefect square, we can force this to happen. If a = 1, then we move c to the other side and add half of b squared to both side of the equation.

10. Complete the Square If a = 1, then we move c to the other side and add half of b squared to both side of the equation.

11. Solve by Completing the Square

12. If a ≠ 1

13. Solve 3x 2 -2x – 1 = 0

17. Solve x 2 + 2x + 3 = 0 Solve by completing the square.

18. Solve x 2 + 2x + 3 = 0 Solve by completing the square.

19. Solve x 2 + 2x + 3 = 0 Solve by completing the square.

20. Homework Page 310 – 311 #15 – 17 odd 25 – 47 odd

21. Homework Page 310 – 311 #14 – 18 even 24 – 40 even