1. Complete the Square
January 16, 2017

2. Steps: Given: 2x2 = -8x Collect variable terms on 1 side and constants 2x2 + 8x = 12 on the other side. 2. If needed, divide both sides by a to make the x2 + 4x ____ = 6 ____ coefficient of the x2 term Complete the square by adding (b/2)2 to both x2 + 4x + 4 = 6 + 4(2) sides of the equation. x2 + 4x + 4 = Factor the variable expression as a perfect square. (x + 2)2 = Take the square root of both sides of the equation. x + 2 = ±√10 6. Solve for the values of the variable. Simplify square x = -2 ±√10 roots if necessary.

3. Ex: Solve each quadratic by completing the square.
1) x2 + 6x + 8 = 0

4. 2) x2 + 4x = 24

5. 3) x2 = 4x - 1

6. 4) 2x2 + 8x - 16= 0

7. 5) 3x2 - 6x + 18 = 0