1. Do on New WS 9-5 Day 3 (with rads) Factor Solve
9.5 mini Quiz Tomorrow!
Warm up
Factor
Solve
What is the formula needed for completing the square?
What number needs to be added to complete the square?

2. Example 1: Solve (by completing the square)
Step 1, 2, 3
x2 + 4x – 9 = 0
x2 + 4x = 9
x2 + 4x + _____ = 9 + ____ 4 4

3. Continued ex 1
Step 4, 5
x2 + 4x + _____ = 9 + ____
(x + 2)2 = 13 4 4

4. Continued… (ex 1) (x + 2)2 = 13 x + 2 = ± 13 -2 -2 x = -2 ± 13 Step 6
x = -2 ± 13
Final Answer

5. Look at Delta Math

6. Example 2: Solve (by completing the square)
Step 1, 2, 3
x = -10x
+ 10x x
x2 + 10x - 1 = 0
x2 + 10x + _____ = 1 + ____ 25 25

7. Continued ex 2.. x2 + 10x + _____ = 1 + ____ 25 25 (x + 5)2 = 26
Step 4, 5
x2 + 10x + _____ = 1 + ____
(x + 5)2 = 26 25 25

8. Continued… (ex 2) (x + 5)2 = 26 x + 5 = ± 26 -5 -5 x = -5 ± 26 Step 6
x = -5 ± 26
Final Answer

9. Example 3: Which equation has the same solution?
Step 1-4 only
x2 – 16x +20 = -2
x2 – 16x = -22
x2 – 16x + _____ = ____
(x – 8)2 = 42 64 64
Final Answer

10. Example 4: Which equation has the same solution?
Step 1-4 only
x2 + 14x – 4 = -10
x2 + 14x = -6
x2 + 14x + _____ = -6 + ____
(x + 7)2 = 43 49 49
Final Answer

11. Homework

12. Example 5: Solve 2 ways 1 1 x2 – 2x – 1 = 2 x2 – 2x – 1 = 2
Solve by FACTORING Solve by COMPLETING THE SQUARE
x2 – 2x – 1 = 2
x2 – 2x – 1 = 2
x2 – 2x = 3
x2 – 2x – 3 = 0 1
x2 – 2x + ___= 3 +___ 1
(x – 3)(x + 1)= 0
(x – 1)(x – 1)= 4
(x – 3) = (x + 1)= 0
(x – 1)2 = 4
x – 1 = ± 2
x = 1 ± 2
x = 3
x = -1
x = 1 + 2
x = 1 - 2
x = 3
x = -1

13. Homework