Solutions to Completing the Square

Tags

CCSS.HSA-REI.B.4B

Solve the equation by completing the square and finding the roots.

• 3 and -1

• 4 and -4

• 5 and -3

• 8 and -7

Tags

CCSS.HSA-REI.B.4B

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

• square it and then add the result to both sides

• divide by it 2, square the result, then add the result to both sides

• divide it by 2, take the square root of it and then add the result to both sides

• only divide it by 2 and add the result to both sides

Tags

CCSS.HSA-REI.B.4B

What number would you add to both sides of this equation to complete the square?

• -8

• 16

• 64

• 256

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

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

x² - 10x - 5 = 0

• x = -5 ± √30

• x = 5 ± √30

• x = 30 ± √5

• x = -30 ± √5

Tags

CCSS.HSA-REI.B.4B