Complete the Square

Complete the Square and solve the equation.
m² - 16m = -59

• 8

• 8 ± √ 5

•  ± √ 13

• -8 ± √ 5

Complete the Square and solve the equation.
a² - 2a - 35 = 0

• ± √ 6

• -7, 7

• -5, 7

• 35, 37

Complete the Square and solve the equation.
m² + 12m + 19 = 0

• - 6 ± √ - 19

• 6 ± √ 19

• - 23, - 11

• - 6 ± √ 17

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x

• the 9

• the x²

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

When Factoring x² - 4x + 4 = 20,

what goes in the blank? (Hint: use complete the square)

(x - __ )² = 20

• 4

• 2

• 8

• 20

What should be added to both sides of the following equation to complete the square?
x² + 12x = 5

• 12

• 6

• 36

• 5

Create a Perfect Square Trinomial
x² + 6x + ____

• 6

• -6

• 9

• -9

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Complete the square.
x² + 6x + ____

• x² + 6x + 9

• x² + 6x - 36

• x² + 6x + 36

• x² + 6x - 9