Complete the Square

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

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? (Hint: use complete the square)

(x - __ )² = 20

• 4

• 2

• 8

• 20

When do you use the plus or minus symbol?

±

• After taking the square root of both sides

• After adding the square to both sides

• After taking half of the x-term

• After setting the equation equal to zero

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:
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 + √50, -5 - √50}

• {5 + √50, 5 - √50}

• {-3 + √68, -3 - √68}

• {3 + √68, 3 - √68}

Complete the Square
x² + 6x = 5

• (x + 3)² = 5
• (x + 6)² = 9
• (x + 3)² = 14
• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

Complete the square.
x² + 14x + ____

• x² + 14x - 196
• x² + 14x + 49
• x² + 14x - 49
• x² + 14x + 196

Tags

CCSS.HSA-REI.B.4B

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

• 12
• 6
• 36
• 5

Tags

CCSS.HSA-REI.B.4B