Solve by Completing the Square

Solve for x.

(x - 7)² + 4 = 40

• x = -1, -13

• x = 1, 7

• x = -1, -7

• x = 1, 13

• x = -7, -13

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

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

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

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

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 by completing the square:

n² - 2n - 3 = 0

• n = 3 and -1

• n = 4 and -4

• n = 5 and -3

• n = 8 and -7

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:

x² + 10x = -9

• x = 1 and -12

• x = -1 and -9

• x = 1 and -9

• x = 1 and -1

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:

k² − 12k + 20 = 0

• k = 10 and 2

• k = -6 and -6

• k = 22 and -10

• k = -2 and 6

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