Completing the Square

Front

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

Back

2

Front

Solve the equation by completing the square: x^2 + 6x - 4 = 36

Back

x = 4, -10

Front

Solve the equation by completing the square: n² - 2n - 3 = 0

Back

{3 and -1}

Front

What is one of the solutions to this equation?
(2x - 1)² = 49
Options: 7, -7, -4, -3

Back

-3

Front

Solve
 3x² + 5x - 12 = 0

Back

x = 4/3, x = -3

Front

Create a Perfect Square Trinomial
x² + 6x + ____

Back

9

Front

Create a Perfect Square Trinomial
x² + 22x + ____

Back

121

Front

Create a Perfect Square Trinomial
x² - 4x + ____

Back

4

Front

Complete the Square and solve the equation.
r² - 4r = 30

Back

2 ± √ 34

Front

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

Back

divide it by 2 and square the result