Square Root and Complete the Square

Complete the Square
x² + 10x + ____

• x² + 10x - 100

• x² + 10x + 100

• x² + 10x - 25

• x² + 10x + 25

Complete the Square
x² - 12x

• (x + 6)² + 12

• (x - 6)² - 24

• (x - 6)² - 12

• (x - 6)² - 36

Complete the Square
x² + 6x + 20

• (x + 3x)² + 11

• (x + 3)² + 11

• (x + 6)² + 11

• (x + 3)² + 29

Complete the Square
x² + 6x + 5

• (x + 3)² - 4

• (x + 6)² - 4

• (x + 3x)² - 4

• (x + 3)² + 9

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

• 12

• 6

• 36

• 5

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}

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}

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

• {11, -11}

• {16, 2}

• {20, -2}

• {10, -4}

Simplify √56

• 4√14

• 2√14

• 2√27

• 4√7

The graph of
f(x) = (x + 3)²
shows what solutions for f(x) = 4?

• {0, -3}

• {-3, 3}

• {-2, -4}

• {-1, -5}