Completing the Square

Solve the equation by completing the square: 7x² - 14x - 56 = 0

• { -6 , 12}

• { -2 , 4}

• { 4 }

• 3∓√10

Tags

CCSS.HSA-REI.B.4B

Put the steps for solving 3x² - 36x + 81 = 0 in the correct order.

• subtract 81 from both sides

• factor the left side to become (x - 6)²

  and combine the numbers on the right

• divide all terms by 3

• divide -12 by 2, square it, and add it to both sides

• take the square root of both sides and solve for x

Tags

CCSS.HSA-REI.B.4B

When solving

3x² + 36x + 48 = 0,

what value do you add to both sides to

complete the square?

• 48

• 6

• 12

• 36

Tags

CCSS.HSA-REI.B.4B

Solve the equation by completing the square: 4x² + 8x - 16 = 0

• { -2 , 4}

• { -1 , 2}

• { 2 }

• 2∓√3

Tags

CCSS.HSA-REI.B.4B

Find the missing value "c" to create a perfect square trinomial:
x² – 6x  + ___ 

• 9

• 18

• 3

• 6

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41

• X= 35 or 47

• X = −6 + √41 or  −6 − √41

• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

Tags

CCSS.HSA-REI.B.4B

What is the first step to solve this quadratic equation by completing the square? x^2-10x+21 = 0

• Set the equation equal to zero

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

• Subtract the 21 from  both sides

Tags

CCSS.HSA-REI.B.4B

Fill in the blank to finish completing the square.

• -1, -1

• -1, 1

• 1, -11

• 1, 5

Tags

CCSS.HSA-REI.B.4B