Complete the Square - Review

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.A.1

CCSS.HSA.REI.B.4

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Complete the square.
x² + 6x + ____

• x² + 6x + 9
• x² + 6x - 36
• x² + 6x + 36
• x² + 6x - 9

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• 4
• 2
• 8
• 20

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Complete the square.
x² + 14x + ____

• x² + 14x - 196
• x² + 14x + 49
• x² + 14x - 49
• x² + 14x + 196

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Complete the Square
x² + 10x + ____

• x² + 10x - 100
• x² + 10x + 100
• x² + 10x - 25
• x² + 10x + 25

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

Complete the square: Step 1 
x²+ 6x - 40 = 0

• x²+ 6x = 40
• x²+ 6x = -40
• x²+ 6x + ___ = 40 + ___
• x²+ 6x + ___ = -40 + ___

Complete the Square Step: Step 2
x²+ 6x + ___ = 40 + ___

• put 3 in the blanks/boxes
• put 6 in the blanks/boxes
• put 9 in the blanks/boxes
• What are the boxes for??

Complete the Square Step: Step 3
x²+ 6x + 9 = 40 + 9

• (x + 3) (x - 3) = 49
• (x + 3)² = 31
• (x - 3)² = 49
• (x + 3)² = 49