Solve by Factoring and Complete the Square

Complete the Square
x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

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

Solve the following equation by completing the square:
n² = 18n + 40

• {11, -11}

• {16, 2}

• {20, -2}

• {10, -4}

Tags

CCSS.HSA-REI.B.4B

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

• the -4x

• the 9

• the x²

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:
v² + 6v − 59 = 0

• {-5 + 5√2, -5 - 5√2}

• {5 + 5√2, 5 - 5√2}

• {-3 + 2√17, -3 - 2√17}

• {3 + 2√17, 3 - 2√17}

Tags

CCSS.HSA-REI.B.4B

Complete the square.
x² + 14x + ____

• x² + 14x - 196

• x² + 14x + 49

• x² + 14x - 49

• x² + 14x + 196

Tags

CCSS.HSA-REI.B.4B

Complete the Square
x² + 10x + ____

• x² + 10x - 100

• x² + 10x + 100

• x² + 10x - 25

• x² + 10x + 25

Tags

CCSS.HSA-REI.B.4B

What should be added to both sides of the following equation to complete the square?
x² + 12x = 5

• 12

• 6

• 36

• 5

Tags

CCSS.HSA-REI.B.4B

Complete the Square
x² + 6x + 20

• (x + 3x)² + 11

• (x + 3)² + 11

• (x + 6)² + 11

• (x + 3)² + 29

Tags

CCSS.HSA-REI.B.4B

Complete the Square
x² + 6x + 5

• (x + 3)² - 4

• (x + 6)² - 4

• (x + 3x)² - 4

• (x + 3)² + 9

Tags

CCSS.HSA-REI.B.4B