Solving Quadratic Equations by Completing the Square

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

• 4
• 2
• 8
• 20

Tags

CCSS.HSA-REI.B.4B

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3 and-1}
• {4 and -4}
• {5 and -3}
• {8 and -7}

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

What is the constant that should be added to the expression to complete the square: x² + 16x + ___

• 16
• 8
• 64
• 32

Tags

CCSS.HSA-REI.B.4B

What is the constant that should be added to the expression to complete the square: 
x² + 12x + ___ 

• 12
• 36
• 24
• 6

Tags

CCSS.HSA-REI.B.4B

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

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

Solve by ANY method you have learned: x²−2x+11=0

• 1±i√10

• 1±√10

• -1±i√10

• -1±√10

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What did you need to add to both sides to complete the square?

  $x^2-12x+_{ }$  ___ =  20 + ___

• 6

• 36

• 10

• 144

Tags

CCSS.HSA-REI.B.4B

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

• 5

• 10

• 7

• 25

Tags

CCSS.HSA-REI.B.4B