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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 21574

x different from zero [#permalink]

11 Dec 2017, 02:54

Expert Reply

00:00

Question Stats:

63% (00:28) correct

36% (00:13) wrong

based on 11 sessions

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\(x\neq{0}\)

Quantity A	Quantity B
\(x^2\)	\(x(x+5)\)

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

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GreenlightTestPrep

GRE Instructor

Joined: 10 Apr 2015

Posts: 6038

Re: x different from zero [#permalink]

13 Dec 2017, 16:12

Expert Reply

Carcass wrote:

\(x\neq{0}\)

Quantity A	Quantity B
\(x^2\)	\(x(x+5)\)

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

We can solve this question using matching operations

Given:
Quantity A: x²
Quantity B: x(x+5)

Expand Quantity B:
Quantity A: x²
Quantity B: x² + 5x

Subtract x² from both quantities:
Quantity A: 0
Quantity B: 5x

Divide both quantities by 5:
Quantity A: 0
Quantity B: x

Answer: D

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