Solve by Completing the Square or Factoring

When do you use the plus or minus symbol?
±

• After taking the square root of both sides

• After adding the square to both sides

• After taking half of b

• After setting the equation equal to zero

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:
v² + 6v − 59 = 0

• {-5 + 5√2, -5 - 5√2}

• {5 + 5√2, 5 - 5√2}

• {-3 + 2√17, -3 - 2√17}

• {3 + 2√17, 3 - 2√17}

Tags

CCSS.HSA-REI.B.4B

Solve the following equation by completing the square:
n² = 18n + 40

• {11, -11}

• {16, 2}

• {20, -2}

• {10, -4}

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

What should you do first if solving this equation using the FACTORING method?

x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

Tags

CCSS.HSA-REI.B.4B

Find the missing value "c" to create a perfect square trinomial:
x² – 8x  + ___ 

• -4

• 16

• 4

• 8

Tags

CCSS.HSA-REI.B.4B

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

• Set the equation equal to zero

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

• Add a² and 10a together

• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

Which TWO methods could be used to solve this equation?

x² - 3x - 54 = 0

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Tags

CCSS.HSA-REI.B.4B

Which TWO methods could be used to solve this equation?

x² + 2x = -9

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Tags

CCSS.HSA-REI.B.4B