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

Solve by completing the square. Round.
x² -4x = 5

• 11 and -7
• 1 and 3
• 1.73 and -1.73
• 5 and -1

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}

When factoring

x² +10x - 4 = 20,

what goes in the blank?

(x + __ )² = 49

• 5

• 10

• 24

• 25

When factoring

x² + 12x =13,

what goes in the blank?

(x + 6)² = __

• 18

• 13

• 36

• 49

Given the perfect square trinomial, identify the equivalent expression

x²-18x+81

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

Tags

CCSS.HSA.APR.C.4

Solve by completing the square.

x² + 10x = -9

• 1 and -12

• -1 and -9

• 1 and -9

• 1 and -1

Solve by completing the square.

x²−16x−10=6

• x= 8±16√5

• x= −8±4i√5

• x= 8±4√5

• x= −8±4√15

x²−14x+16=3

• x= −1, x= −13

• x= 7±2√17

• x= 13, x= 1

• x= 7±4√17

Solve by completing the square.

x²−8x−14=7

• x= 4±√37

• x= 4+√37

• x= −4±√37

• x= 4±4√2