Steps to Complete the Square

Solve the quadratic using complete the square:

x² − 12x + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

Solve the equation by completing the square and then finding the roots. 

x² + 6x = 40

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Find the zeros using complete the square.

x² + 10x = -9

• 1 and -12

• -1 and -9

• 1 and -9

• 1 and -1

Reorder the steps for solving a quadratic by completing the square

• Move the Constant

• Factor

• Rewrite

• Solve/Simplify

Complete the square for the expression shown by drawing your missing boxes.

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

• the -4x

• the 9

• the x²

Complete the Square
x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144