Quadratic Equations

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Subtract the 21

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

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7
• -7
• -4
• -3

Tags

CCSS.8.EE.A.2

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41
• X= 35 or 47
• X = −6 + √41 or  −6 − √41
• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3 and-1}
• {4 and -4}
• {5 and -3}
• {8 and -7}

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

Complete the Square
x² + 10x + ____

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

Tags

CCSS.HSA-REI.B.4B

(x+1)(x-2)=0

• -1, 2
• 1, 2
• 1, -2
• -1, -2

Tags

CCSS.HSA-REI.B.4B

Factor: x² – 5x – 24

• (x - 5)(x + 19)
• (x - 8)(x + 3)
• (x - 3)(x + 8)
• (x - 19)(x + 5)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3