11.5 Solving Quadratic Equations by Completing the Square

11.5 Solving Quadratic Equations by Completing the Square

Sunday, January 17, 2021

Multiple Choice

Complete the Square

x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Multiple Choice

When factoring

x² - 4x + 4 = 20,

what goes in the blank?

(x - __ )² = 20

• 4

• 2

• 8

• 20

Multiple Choice

Complete the square.

x² + 6x + ____

• x² + 6x + 9

• x² + 6x - 36

• x² + 6x + 36

• x² + 6x - 9

Multiple Choice

Complete the square for

x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Multiple Choice

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

• {3 and-1}
• {4 and -4}
• {5 and -3}
• {8 and -7}

Multiple Choice

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