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

Explain, in words, what you would do in order to solve this quadratic equation by completing the square.

x²+ 6x - 4 = 36

Evaluate responses using AI:

OFF

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

Solve by completing the square.

y² + 10y = -9

Evaluate responses using AI:

OFF

Create a Perfect Square Trinomial
x² + 6x + ____

• 6
• -6
• 9
• -9

Create a Perfect Square Trinomial
x² + 22x + ____

• 11
• - 11
• 121
• -121

Create a Perfect Square Trinomial
x² - 2x +  ____

• 2
• 4
• -2
• 1

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

Complete the square for

x² - 12x + ____

• 144

• 36

• - 36

• 24

Given the perfect square trinomial, identify the equivalent expression

x²-18x+81

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²