Solve Equations by Completing the Square

Convert to vertex form.

• y=-2(x+12)² - 67

• y=-2(x-12)² - 67

• y=-2(x-6)² - 67

• y=-2(x+6)² - 67

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

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:

x² + 10x = -9

• x = 1 and -12

• x = -1 and -9

• x = 1 and -9

• x = 1 and -1

Tags

CCSS.HSA-REI.B.4B

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

• square it

• divide it by 2 and square the result

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

• divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

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

Morgan is solving this quadratic equations using Completing the Square. What is her next step?

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

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

• square it

• divide it by 2 and square the result

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

• divide it by 2 only

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