Completing the Square — Quiz Answers

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Solve for x in the equation x squared minus 10 x plus 25 is equal to 35

A
x is equal to 10 plus or minus 2 square root of 5
B
x is equal to 10 plus or minus square root of 35
C
x is equal to 5 plus or minus square root of 35
D
x is equal to 5 plus or minus 2 square root of 5
5

Solve for x in the equation x squared plus 4 x minus 4 is equal to 8

A
x is equal to negative 2 or x is equal to 6
B
x is equal to negative 6 or x is equal to 2
C
x is equal to negative 2 plus or minus 2 square root of 2
D
x is equal to 2 plus or minus 2 square root of 2
7

Solve for x in the equation x squared plus 10 x plus 12 is equal to 36

A
x is equal to negative 2 or x is equal to 12
B
x is equal to negative 11 or x is equal to 1
C
x is equal to negative 1 or x is equal to 11
D
x is equal to negative 12 or x is equal to 2
9

Solve for x in the equation x squared plus 2 x plus 1 is equal to 17

A
x is equal to negative 1 plus or minus square root of 17
B
x is equal to negative 1 plus or minus square root of 13
C
x is equal to negative 2 plus or minus 2 square root of 5
D
x is equal to negative 1 plus or minus square root of 15
10

Solve for x in the equation x squared plus 20 x plus 100 is equal to 36

A
x is equal to negative 8
B
x is equal to 4 or x is equal to 16
C
x is equal to negative 16 or x is equal to negative 4
D
x is equal to negative 10
12

Solve for x in the equation x squared minus 4 x minus 9 is equal to 29

A
x is equal to 2 plus or minus square root of 34
B
x is equal to 2 plus or minus square root of 33
C
x is equal to 2 plus or minus square root of 42
D
x is equal to 4 plus or minus square root of 42
13

What are the solutions of x squared plus 6 x minus 6 is equal to 10 ?

A
x is equal to negative 11 or x is equal to 1
B
x is equal to negative 11 or x is equal to negative 1
C
x is equal to negative 8 or x is equal to negative 2
D
x is equal to negative 8 or x is equal to 2
14

What are the solution(s) of x squared minus 4 is equal to 0 ?

A
x is equal to negative 2 or x is equal to 2
B
x is equal to 4
C
x is equal to 2
D
x is equal to negative 4 or x is equal to 4
15

Solve for x in the equation 2 x squared plus 3 x minus 7 is equal to x squared plus 5 x plus 39

A
x is equal to 1 plus or minus square root of 33
B
x is equal to negative 6 plus or minus square root of 82
C
x is equal to negative 6 plus or minus 2 square root of 17
D
x is equal to 1 plus or minus square root of 47
16

Solve for x in the equation x squared plus 14 x plus 17 is equal to negative 96

A
x is equal to negative 7 plus or minus 4 square root of 6 i
B
x is equal to negative 7 plus or minus 8 i
C
x is equal to 7 plus or minus 4 square root of 6 i
D
x is equal to 7 plus or minus 8 i
17

Solve for x in the equation x squared minus 12 x plus 59 is equal to 0

A
x is equal to negative 6 plus or minus square root of 23 i
B
x is equal to 6 plus or minus square root of 23 i
C
x is equal to negative 12 plus or minus square root of 85
D
x is equal to 12 plus or minus square root of 85
18

Solve for x in the equation 2 x squared minus 5 x plus 1 is equal to 3

A
x is equal to 5 halves plus or minus the fraction with numerator square root of 41 and denominator 4
B
x is equal to 5 fourths plus or minus the fraction with numerator square root of 29 and denominator 2
C
x is equal to 5 halves plus or minus the fraction with numerator square root of 29 and denominator 2
D
x is equal to 5 fourths plus or minus the fraction with numerator square root of 41 and denominator 4
19

Solve for x in the equation 3 x squared minus 18 x plus 5 is equal to 47

A
x is equal to 3 plus or minus square root of 5
B
x is equal to 3 plus or minus square root of 41
C
x is equal to 3 plus or minus square root of 51
D
x is equal to 3 plus or minus square root of 23
20

Use completing the square to solve for x in the equation open paren x plus 7 close paren times open paren x minus 9 close paren is equal to 25

A
x is equal to 1 plus or minus square root of 89
B
x is equal to 1 plus or minus square root of 87
C
x is equal to negative 4 or 6
D
x is equal to negative 2 or 14

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