Solving Quadratics by Completing the Square

Complete the Square and solve the equation.
r² - 4r = 30

• 2 ± √ 34
• ± √ 34
•  34
• ± 2

Tags

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.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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.4

Solve by completing the square.
y² + 10y = -9

• 1 and -12
• -1 and -9
• 1 and -9
• 1 and -1

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.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

x² + 4x - 16 = 0

• 
• 
• 
• 

Tags

CCSS.HSA.REI.B.4

What is the first step to solving THIS equation by completing the square? a² + 10a -14 = 0

• Take half of 10 and square the result

• Add 14 to both sides of the equation

• Square 10, then add to -14

• Cry.

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.C.7