Test 6-3 Review

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

• the -4x
• the 9
• the x²

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• 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

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

• 4
• 2
• 8
• 20

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7
• -7
• -4
• -3

Complete the Square
x² + 6x = 5

• (x + 3)² = 5
• (x + 6)² = 9
• (x + 3)² = 14
• (x + 6)² = 14

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Complete the square.
x² + 6x + ____

• x² + 6x + 9
• x² + 6x - 36
• x² + 6x + 36
• x² + 6x - 9

Solve by taking the Square Root:

4m² - 100 = 0

• m = ± 25

• m = 96

• m = ± 5

• m = -96

Solve by taking the Square Root:

16a² - 9 = 0

• a = ± ³/₄

• a = ± ⁴/₃

• a = ± ⁹/₁₆

• a = ± ¹⁶/₉

Solve for x by taking the Square Root:

(x+6)² = 49

• x = 7 and 12

• x = ±7

• x = 1 and -13

• x = 43 and -55