PER. 1 Week 13: Solving by Completing the Square

What do you do to the "b" value to correctly complete the square?

• square it

• divide it by 2 and square the result

• multiply it by 2 and take the square root of the result

• divide it by 2 only

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

• 4
• 16
• 64
• -16

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

x² + 10x + 17 = 0

• Use the "magic x'

• Divide 10 by 2 and add the result to both sides

• Add x² and 10x together

• Subtract the 17

Rory is in the process of solving a quadratic by completing the square. The step she left off on is below.

x² - 16x + 64 = 20 + 64

what goes in the blank for Rory's next step?

(x - __ )² = 84

• 2

• 4

• 8

• 20

Which equation below should you get if you correctly complete the square?

x² + 6x - 13= 0

• (x+3)² = 22

• (x+9)² = 22

• (x+3)² = 13

• (x+3)² = 9

Dwight is in the process of solving a quadratic by completing the square. The step he left off on is below.

x² + 6x - 5 = 0

which equation below should Dwight get if he correctly completes the square?

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

What is one of the solutions to this equation?

(x - 1)² = 49

Hint: Step 1 is to square root both sides.

• -12

• -7

• 50

• 8

Solve the equation by completing the square.

x² - 8x + 11 = 0

• x = 2.24 and x = -2.24

• x = 6.24 and x = 1.76

• x = 4.92 and x = -.92

• x = 9.38 and x = 4.62

Solve by completing the square:

x² − 12x + 23 = 0

• x = 9.61 and x = 2.39

• x = 3.61 and x = -3.61

• x = 3.27 and x = -4.73

• x = 5.22 and x = 1.78

Solve by completing the square.

x² +12x - 5= 0

• x = -1.92 and x = .08

• x = -6.40 and x = -6.40

• x = -12.40 and x = .40

• x = -8.32 and x = .68