AnswersCommon Core Algebra I 2014 - MA3109 B-CRSolving Quadratic Equations: Completing the Square

Solving Quadratic Equations: Completing the Square Answers

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1
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[___]

Answer:

100

2
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x + 3✔ x + 6x + 10x + 12

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

–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
81952

c =[___]

Answer:

25

81957

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

Answers:
Add to both sides of the equation. The value of in this equation is .:36
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
81960

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

A
22
B
72
C
Option
D
Option
81961

Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation?

A
{–11, 3}
B
{–3, 11}
C
{–4, 4}
D
{–7, 7}
81962

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.
81963

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

A
{–220, 250}
B
{–250, 220}
C
{15 – , 15 + }
D
{–15 – , –15 + }
81964

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

A
Option
B
Option
C
Option
D
Option
81965

Question text not available

Answer:

81952

81966

⇒ 100

Answer:

81956

81967

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

A
22
Option A
B
72
Option B
C
Option
Option C
D
Option
Option D
81968

610✔ 36100

A
6
B
10
C
36
D
100
81969

Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation?

A
{–11, 3}
B
{–3, 11}
C
{–4, 4}
D
{–7, 7}
81970

Which describes the solutions of the equation?

A
Since 7 and 11 are both rational, the sum and difference are rational.
Option A
B
Since 14 and 11 are both rational, the sum and difference are rational.
Option B
C
Since 7 is rational and is irrational, the sum and difference are irrational.
Option C
D
Since is irrational and 11 is rational, the sum and difference are irrational.
Option D
81971

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

A
{–220, 250}
Option A
B
{–250, 220}
Option B
C
{15 – , 15 + }
Option C
D
{–15 – , –15 + }
Option D
81972

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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