Complete the Square Questions

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

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

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Complete the square.
x² + 14x + ____

• x² + 14x - 196

• x² + 14x + 49

• x² + 14x - 49

• x² + 14x + 196

Complete the Square
x² + 10x + ____

• x² + 10x - 100

• x² + 10x + 100

• x² + 10x - 25

• x² + 10x + 25

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.
x² + 6x + ____

• x² + 6x + 9

• x² + 6x - 36

• x² + 6x + 36

• x² + 6x - 9

Complete the Square
x² + 6x + 20

• (x + 3x)² + 11

• (x + 3)² + 11

• (x + 6)² + 11

• (x + 3)² + 29

Complete the Square
x² + 6x + 5

• (x + 3)² - 4

• (x + 6)² - 4

• (x + 3x)² - 4

• (x + 3)² + 9