Solving Quadratic Equations by Completing the Squares

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

Complete the square for

x² - 12x + ____

• 144

• 36

• - 36

• 24

Complete the square.

x² + 6x + ____

• 9

• 12

• 36

• - 9

Complete the square.

x² - 14x + ____

• - 196

• 49

• - 49

• 28

Complete the Square

x² - 10x + ____

• x² + 10x - 100

• x² - 10x + 100

• x² + 10x - 25

• x² - 10x + 25

Find the missing value "c" to create a perfect square trinomial:
x² + 26x + ___ 

• 13
• 136
• 169
• 26

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

• -4
• 16
• 4
• 8

Given the perfect square trinomial, identify the equivalent expression

x²-18x+81

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

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

• the -4x
• the 9
• the x²

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}