AnswersAlgebra Concepts and ConnectionsSolving Quadratic Equations: Completing the Square (Continued)

Solving Quadratic Equations: Completing the Square (Continued) — Quiz Answers

10 verified answers
1
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What are the zeros of the quadratic function f of x is equal to 6 x squared plus 12 x minus 7 ?

A
x is equal to negative 1 minus the fraction with numerator 2 and denominator square root of 3 and x is equal to negative 1 plus the fraction with numerator 2 and denominator square root of 3
B
x is equal to negative 1 minus square root of 13 sixths and x is equal to negative 1 plus square root of 13 sixths
C
x is equal to negative 1 minus the fraction with numerator 1 and denominator square root of 6 and x is equal to negative 1 plus the fraction with numerator 1 and denominator square root of 6
D
x is equal to negative 1 minus square root of 7 sixths and x is equal to negative 1 plus square root of 7 sixths
2
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Sunil is solving the quadratic equation by completing the square. 6 x squared plus 24 x plus 5 is equal to 0 6 x squared plus 24 x is equal to negative 5 What should Sunil do next?

A
Isolate the constant.
B
Isolate the variable x squared .
C
Factor 6 out of the variable terms.
D
Subtract 24 x from both sides of the equation.
3

Gio is solving the quadratic equation by completing the square. 5 x squared plus 15 x minus 4 is equal to 0 What should Gio do first?

A
Add 9 to both sides of the equation.
B
Isolate the constant.
C
Isolate the variable x .
D
Factor 5 out of the variable terms.
4

Patel is solving 8 x squared plus 16 x plus 3 is equal to 0 Which steps could he use to solve the quadratic equation? Choose three correct answers.

A
8 times open paren x squared plus 2 x close paren is equal to negative 3
B
8 times open paren x squared plus 2 x plus 1 close paren is equal to 3 plus 1
C
8 times open paren x squared plus 2 x plus 1 close paren is equal to negative 3 plus 8
D
x is equal to negative 1 plus or minus square root of 5 eighths
E
x is equal to negative 1 plus or minus square root of 4 eighths
5

Maya is solving the quadratic equation by completing the square. 4 x squared plus 16 x plus 3 is equal to 0 What should Maya do first?

A
Isolate the variable x squared .
B
Isolate the constant.
C
Factor 4 out of the variable terms.
D
Subtract 16 x from both sides of the equation.
6

Inga is solving 2 x squared plus 12 x minus 3 is equal to 0 Which steps could she use to solve the quadratic equation? Choose three correct answers.

A
x plus 3 is equal to plus or minus square root of 21 halves
B
2 times open paren x squared plus 6 x close paren is equal to negative 3
C
2 times open paren x squared plus 6 x close paren is equal to 3
D
2 times open paren x squared plus 6 x plus 9 close paren is equal to 3 plus 18
E
2 times open paren x squared plus 6 x plus 9 close paren is equal to negative 3 plus 9
7

Which is a zero of the quadratic function f of x is equal to 16 x squared plus 32 x minus 9 ?

A
x is equal to negative 1 point 2 5
B
x is equal to negative 2 point 2 5
C
x is equal to negative 0 point 2 5
D
x is equal to negative 5 point 2 5
8

What are the zeros of the quadratic function f of x is equal to 8 x squared minus 16 x minus 15 ?

A
x is equal to 1 minus square root of 7 and x is equal to 1 plus square root of 7
B
x is equal to negative 1 minus square root of 15 eighths and x is equal to negative 1 plus square root of 15 eighths
C
x is equal to 1 minus square root of 23 eighths and x is equal to 1 plus square root of 23 eighths
D
x is equal to negative 1 minus square root of 2 and x is equal to negative 1 plus square root of 2
9

Lie is solving the quadratic equation by completing the square. 3 x squared plus 18 x minus 8 is equal to 0 3 x squared plus 18 x is equal to 8 What should Lie do next?

A
Write the polynomial as a binomial squared.
B
Factor 3 out of the variable terms.
C
Isolate the variable x .
D
Add 8 to both sides of the equation.
10

What are the zeros of the quadratic function f of x is equal to 2 x squared plus 16 x minus 9 ?

A
x is equal to negative 4 minus square root of 21 halves and x is equal to negative 4 plus square root of 21 halves
B
x is equal to negative 4 minus square root of 41 halves and x is equal to negative 4 plus square root of 41 halves
C
x is equal to negative 4 minus square root of 7 halves and x is equal to negative 4 plus square root of 7 halves
D
x is equal to negative 4 minus square root of 25 halves and x is equal to negative 4 plus square root of 25 halves

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