AnswersAlgebra III ASolving Quadratic Equations: Completing the Square

Solving Quadratic Equations: Completing the Square Answers

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What number would you add to both sides of x2 + 7x = 4 to complete the square?

A
22
B
72
C
Option
D
Option
81956

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Answer:

100

81957

Solve x2 + 12x = –20 by completing the square.

Answers:
Write the left side of the equation as a binomial squared. The left side of the equation becomes ()2.:x + 6
Isolate the variable: x =:–10 or –2
81958

x + 3x + 6x + 10x + 12

A
+ 3
B
+ 6
C
+ 10
D
+ 12
81959

–4 or 4–6 or 62 or 10–10 or –2

A
–4 or 4
B
–6 or 6
C
2 or 10
D
–10 or –2
81961

Which describes the solutions of the equation?

A
Since 7 and 11 are both rational, the sum and difference are rational.
B
Since 14 and 11 are both rational, the sum and difference are rational.
C
Since 7 is rational and is irrational, the sum and difference are irrational.
D
Since is irrational and 11 is rational, the sum and difference are irrational.
81962

What is the solution set of x2 – 10 = 30x?

A
{–220, 250}
B
{–250, 220}
C
{15 – , 15 + }
D
{–15 – , –15 + }
81963

What are the solutions of x2 = 8 – 5x?

A
Option
B
Option
C
Option
D
Option
81964

61036100

A
6
B
10
C
36
D
100

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