Solve by Completing the Square

Solve for x by taking the Square Root:

(x+6)² = 49

• x = 7 and 12

• x = ±7

• x = 1 and -13

• x = 43 and -55

Tags

CCSS.HSA.REI.B.4

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.4

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3 and-1}
• {4 and -4}
• {5 and -3}
• {8 and -7}

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Complete the Square and solve the equation.
a² - 2a - 35 = 0

• 1 ± √ 6
• -7, 7
• -5, 7
• 35, 37

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Tags

CCSS.HSA.REI.B.4

Solve by completing the square:

k² − 12k + 20 = 0

• k = 10 and 2

• k = -6 and -6

• k = 22 and -10

• k = -2 and 6

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Tags

CCSS.HSA.REI.B.4

Complete the Square and solve the equation.
m² - 16m = -59

• 8
• 8 ± √ 5
•  ± √ 13
• -8 ± √ 5

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3