Completing the Square

1. Complete the square for

x² + 12x + ____

(find the missing number in the blank)

• x² + 12x - 36

• x² + 12x + 144

• x² + 12x - 24

• x² + 12x + 36

2. Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

• - 196

• + 49

• - 7

• - 49

3. Complete the square for

x² + 6x + ____

(find the missing value that goes in the blank)

• x² + 6x + 9

• x² + 6x - 36

• x² + 6x + 36

• x² + 6x - 196

6. Complete the square for

x² - 16x + ____

(find the missing value that goes in the blank)

• + 32

• - 16

• + 64

• + 8

Complete the Square
x² + 6x = 5

• (x + 3)² = 5
• (x + 6)² = 9
• (x + 3)² = 14
• (x + 6)² = 14

Solve by completing the square:

x² + 10x = -9

• x = 1 and -12

• x = -1 and -9

• x = 1 and -9

• x = 1 and -1