Solving Quadratic Equations by Completing the Square

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

• + 49

• - 49

• + 36

• - 36

• + 6

• - 6

• + 7

• - 7

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square. 
 x² − 10x - 11= 0

• x = −1 and 11

• x = 1 and −11

• x = −10 and 11

• x = −5 and 25

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

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

How many solutions are there?

• 0

• 1

• 2

• Cannot be determined

Solve the following quadratics equation by completing the square... x² - 6x + 2 = 0

• x = -3 ± √7

• x = 3 ± √7

• x = 7 ± √3

• x = -7 ± √3

Tags

CCSS.HSA-REI.B.4B