Completing the Square and Square Root Property

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

x² + 1 = 9

• ± √8

• ± 4

• ± 8

• ± 3

Tags

CCSS.8.EE.A.2

(x - 2) ² = 49

• 9  or  -5

• ± 9

• ± 5

• ± 7

Tags

CCSS.HSA-REI.B.4B

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 b

• After setting the equation equal to zero

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

Find the value of c that makes x² + 16x + c a perfect square.

• -64

• 64

• 8

• 16

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

What is the 1^st step in solving a Quadratic Equation using Completing the Square

• Divide b by 2

• Square root both sides

• Make sure the equation equals 0

• Get the variable terms on one side by themselves

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