Solving Quadratic Equations by Completing the Square

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 + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

When factoring x² - 4x = 16, what goes in the blank? (x __ )² = 16

• -4

• -2

• +4

• +2

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² + 4x= 12

• x = 2 and -2

• x = -6 and 2

• x = 6 and -2

• x = 1 and -1

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?

• 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

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Tags

CCSS.HSA-REI.B.4B

Which TWO methods could be used to solve this equation?

x² - 3x - 54 = 0

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Tags

CCSS.HSA-REI.B.4B

Which TWO methods could be used to solve this equation?

x² + 2x = -9

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Tags

CCSS.HSA-REI.B.4B

Which TWO methods could be used to solve this equation? 2x² + 4x - 6 = 0

• Square Root Method

• Factor Method

• Quadratic Formula

• Completing the Square

Tags

CCSS.HSA-REI.B.4B

Find the missing value "c" to create a perfect square trinomial:
x² – 8x  + ___ 

• -4

• 16

• 4

• 8

Tags

CCSS.HSA-REI.B.4B