Completing the Square

Complete the square.
x² + 14x + ____

• x² + 14x - 196

• x² + 14x + 49

• x² + 14x - 49

• x² + 14x + 196

Tags

CCSS.HSA-REI.B.4B

Put the steps to Completing the Square in the correct order

• Move constants to one side

• Factor the trinomial

• Take the square root of both sides.

• Solve both cases.

Tags

CCSS.HSA-REI.B.4B

What is the first step to completing the square for this equation?

• Set the equation equal to zero

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

• Add x² and 10x together

• Subtract 21 on both sides

Tags

CCSS.HSA-REI.B.4B

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

• 4

• 2

• 8

• 20

Tags

CCSS.HSA-REI.B.4B

Complete the Square

x² + 6x - 5 = 0

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

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

• {-7, 7}

• {4, -10}

• {-4 - √7, -4 + √7}

• {10, -4}

Tags

CCSS.HSA-REI.B.4B

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

• {6 + √41 ,  6 − √41 }

• { 35 , 47 }

• {−6 + √41 ,  −6 − √41 }

• { √35 , √47 }

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
y² + 10y = -9

• {1 , -12}

• { -1 , -9}

• { 1 , -9}

• { 1 , -1}

Tags

CCSS.HSA-REI.B.4B

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

• {3 ,-1}

• {4 , -4}

• {5 , -3}

• {8 , -7}

Tags

CCSS.HSA-REI.B.4B

Complete the square but do not solve.

Tags

CCSS.HSA-REI.B.4B