Mastering Completing the Square

• Move the constant term to the other side.

• Factor the equation.

• Multiply both sides by 2.

Tags

CCSS.HSA-REI.B.4B

• 16

• 4

• 8

• 64

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Daniel is designing a rectangular garden such that the length is 4 meters more than the width. If the area of the garden is 1 square meter, what is the width of the garden? (Solve by completing the square.)

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

• 49

• 7

• 14

• 28

Tags

CCSS.HSA-REI.B.4B

• Divide all terms by 2

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply all terms by 2

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Emma is designing a rectangular garden such that its length is 2 meters more than its width. If the area of the garden is 8 square meters, what are the possible values for the width of the garden? (Solve by completing the square.)