Complete the Square

Factor the perfect square trinomial
x² + 14x + 49

• (x+7)²

• (x+7)(x-7)

• (x-7)²

• (x+14)²

Tags

CCSS.HSA.APR.C.4

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

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

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

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

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

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

Complete the Square
x² - 12x

• (x + 6)² + 12

• (x - 6)² - 24

• (x - 6)² - 12

• (x - 6)² - 36

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