Quadratic Solutions by Completing the Square

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

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

• 7

• -7

• -4

• -3

Write the following quadratic expression in completed square form... x² + 4x + 10

• (x + 4)² + 6

• (x + 2)² + 6

• (x + 4)² - 6

• (x + 2)² - 6

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 + 4x - 1 = 0

• x = -2 ± √5

• x = -5 ± √2

• x = 2 ± √5

• x = -5 ± √5

Solve the following quadratics equation by completing the square... x² - 4x - 1 = 0

• x = -2 ± √5

• x = -5 ± √2

• x = 2 ± √5

• x = 5 ± √5

Solve the following quadratics equation by completing the square... x² - 6x + 2 = 0

• x = -3 ± √7

• x = 3 ± √7

• x = 7 ± √3

• x = -7 ± √3

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

x² + 12x + 10 = 0

• x = -6 ± √26

• x = 6 ± √26

• x = 26 ± √6

• x = -26 ± √6