
Solving by Completing the Square
Authored by Anthony Clark
Mathematics
11th Grade
CCSS covered

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
2.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
Solve the following quadratics equation by completing the square... x2 + 6x - 3 = 0
x = -3 ± √12
x = 3 ± √12
x = 12 ± √3
x = -12 ± √3
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
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