Completing the Square Method

Convert to vertex form.

• y=-2(x+12)² - 67

• y=-2(x-12)² - 67

• y=-2(x-6)² - 67

• y=-2(x+6)² - 67

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

What is the first step to solving THIS equation by completing the square?

• 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

Solve the following quadratics equation by completing the square...

x² - 6x + 2 = 0

• x = -3 ± √7

• x = 3 ± √7

• x = 7 ± √3

• x = -7 ± √3

Solve the following quadratics equation by completing the square... x² + 2x - 5 = 0

• x = -1 ± √6

• x = 1 ± √6

• x = 6 ± √1

• x = -6 ± √1

Find the missing value "c" to create a perfect square trinomial:
x² – 8x  + ___ 

• -4

• 16

• 4

• 8

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Solve by using a method of your choice:

k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

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.
x² + 6x + ____

• x² + 6x + 9

• x² + 6x - 36

• x² + 6x + 36

• x² + 6x - 9