Solving by Completing the Square

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

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

Write the following quadratic expression in completed square form...

x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Write the following quadratic expression in completed square form... x² + 4x + 10

• (x + 4)² + 6

• (x + 2)² + 6

• (x + 4)² - 6

• (x + 2)² - 6

What value of c would you need to add to complete the square?

• 100

• 25

ALL quadratic equations can be solved using _____. Select ALL that apply.

• the quadratic formula

• factoring

• the pythagorean theorem

• completing the square.

Find the exact solution by completing the square. Be sure to reduce.

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x

• the 9

• the x²

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Solve. x² + 4x - 16 = 0

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