More Practice on Completing the Square

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Which equation would be the result of solving the following quadratic equation using completing the square?

x² + 6x = 5

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

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

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

x² + 12x + 8= 0

• x = -6 ± 2√7

• x = 6 ± 2√7

• x = 28 ± √6

• x = -28 ± √6

When re-writing the left side of x² - 4x + 4 = 20 as a perfect square,

what goes in the blank? (x ___ )² = 20

• 4
• -2

• 2

• 20

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

What is the first step to solving the equation below 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