Complete the Square

How would you rewrite this as a perfect square?

x² -14x + 49

• (x - 7)²

• (x - 14)²

• (x + 7)²

• (x + 14)²

Tags

CCSS.HSA-REI.B.4B

Convert to vertex form.

y=x² + 8x + 2

• y=(x + 4)² - 14

• y=(x + 4)² - 6

• y=(x + 4)² - 18

• y=(x + 4)² + 6

Convert y = 3x²+ 6x - 5 to vertex form.

• y = 3(x + 1)² - 8

• y = 3(x - 1) ² - 8

• y = 3(x + 2)² - 8

• y = 3(x - 2)² - 8

Complete the square for

x² + 6x + ____

(find the missing value that goes in the blank)

• 9

• 12

• 36

• - 9

Tags

CCSS.HSA-REI.B.4B

Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

• - 196

• 49

• - 49

• 28

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:

n² - 2n - 3 = 0

• n = 3 and -1

• n = 4 and -4

• n = 5 and -3

• n = 8 and -7

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:

k² − 12k + 20 = 0

• k = 10 and 2

• k = -6 and -6

• k = 22 and -10

• k = -2 and 6

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:

v² + 6v − 59 = 0

• {-5 + √50, -5 - √50}

• {5 + √50, 5 - √50}

• {-3 + √68, -3 - √68}

• {3 + √68, 3 - √68}

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square 4x² - 32x + 8 = 12 (lead number must be 1!)

• x = 8.12 & -0.12

• x = 8.12 & 0.12

• x = -8.12 & 0.12

• x = -8.12 & -0.12

Tags

CCSS.HSA-REI.B.4B

What value of c would make this a perfect square trinomial?
x² + 2x + c

• 2

• 4

• -2

• 1

Tags

CCSS.HSA-REI.B.4B