Solving Quadratics by Using Square Roots and Completing the Square

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

• {11 and -11}
• {16 and 2}
• {20 and -2}
• {10 and -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

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B

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

• 1 and -12
• -1 and -9
• 1 and -9
• 1 and -1

Tags

CCSS.HSA-REI.B.4B

(x + 1) ² = 25

• ± 5
• 4  or  -6
• -4  or  6
• ± 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Complete the square for

x² - 12x + ____

• 144

• 36

• - 36

• 24

Tags

CCSS.HSA-REI.B.4B

Given the perfect square trinomial, identify the equivalent expression

x²-18x+81

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

Tags

CCSS.HSA.APR.C.4

Given the perfect square trinomial, identify the equivalent expression

x²+14x+49

• (x+14)²

• (x+49)²

• (x-7)²

• (x+7)²

Tags

CCSS.HSA.APR.C.4

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 + 10x + ____

• x² + 10x - 100
• x² + 10x + 100
• x² + 10x - 25
• x² + 10x + 25

Tags

CCSS.HSA-REI.B.4B