Solving by Completing the Square

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

x² - 12x + 31 = 0

• x = -6 ± √5

• x = 6 ± √5

• x = 5 ± √6

• x = -5 ± √6

Tags

CCSS.HSA-REI.B.4B

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

x² + 2x - 5 = 0

• x = -1 ± √6

• x = 1 ± √6

• x = 6 ± √1

• x = -6 ± √1

Tags

CCSS.HSA-REI.B.4B

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

x² + 2x - 10 = 0

• x = -1 ± √11

• x = 1 ± √11

• x = 11 ± √1

• x = -11 ± √1

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square... x² + 10x + 18 = 0

• x = -5 ± √7

• x = 5 ± √7

• x = 7 ± √5

• x = -7 ± √5

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

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

x² - 20x + 98 = 0

• x = -10 ± √2

• x = 10 ± √2

• x = 2 ± √10

• x = -2 ± √10

Tags

CCSS.HSA-REI.B.4B

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

x² + 12x + 8= 0

• x = -6 ± 2√7

• x = 6 ± 2√7

• x = 28 ± √6

• x = -28 ± √6

Tags

CCSS.HSA-REI.B.4B

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41

• X= 35 or 47

• X = −6 + √41 or  −6 − √41

• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B