Completing the Square

Find the missing value "c" to complete the square.

x² + 6x + ____

• 9

• 12

• 36

• - 9

Given the perfect square trinomial, identify the equivalent expression

x²-18x+81

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4
• 2
• 8
• 20

Complete the Square
x² + 6x = 5

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

What is one of the solutions to this equation?

(x - 3)² = 49

• 7

• -7

• -4

• 4

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41
• X= 35 or 47
• X = −6 + √41 or  −6 − √41
• X = √35 or √47

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 solve this quadratic equation by completing the square?  $x^2-10x+21\ =\ 0$  

• Set the equation equal to zero

• Add  $x^2$  and  $10x$  together

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

• Subtract the 21 from  both sides

What is the first step to solve this quadratic equation by completing the square?  $x^2-10x+21\ =\ 0$  

• Set the equation equal to zero

• Add  $x^2$  and  $10x$  together

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

• Subtract the 21 from  both sides

When factoring  $x^2-10x+25\ =\ 49$  
what goes into the blank   $\left(x-\ldots\right)^2=49$  

• 5

• 10

• 7

• 25