Solving Quadratic Equations 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

Tags

CCSS.HSA-REI.B.4B

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

• 4
• 2
• 8
• 20

Tags

CCSS.HSA-REI.B.4B

Complete the Square
x² + 6x = 5

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

Tags

CCSS.HSA-REI.B.4B

What is the correct factored form of this equation?

x² + 2x = 8

• (x-1)² = 9

• (x+1)² = 9

• (x+4)² = 9

• (x-4)² = 9

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² + 4x= 12

• x = 2 and -2
• x = -6 and 2
• x = 6 and -2
• x = 1 and -1

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square. 
 x² − 10x - 11= 0

• x = −1 and 11
• x = 1 and −11
• x = −10 and 11
• x = −5 and 25

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
y² + 10y = -9

• 1 and -12
• -1 and -9
• 1 and -9
• 1 and -1

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Given the perfect square trinomial, identify the equivalent expression

x²-18x+81

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

Tags

CCSS.HSA.APR.C.4

What are the steps to solving this by completing the square?

a² + 10a + 21 = 0

• Subtract 5 from both sides of the equation

• Take the square root of both sides of the equation

• Subtract 21 from both sides of the equation

• Rewrite the left hand side as a (binomial)²

• Add 25 to both sides of the equation

Tags

CCSS.HSA-REI.B.4B