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(x+2)^2
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30 Mar 2021, 04:07
30 Mar 2021, 04:07
Expert Reply
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Question Stats:
72% (00:31) correct
28% (00:35) wrong based on 25 sessions
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Quantity A |
Quantity B |
\([(x+2)^2]\) |
\([(x-2)^2]\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: (x+2)^2
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30 Mar 2021, 08:04
30 Mar 2021, 08:04
1
Carcass wrote:
Quantity A |
Quantity B |
\([(x+2)^2]\) |
\([(x-2)^2]\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Col. A: \((x+2)^2\)
Col. B: \((x-2)^2\)
Col. A: \(x^2 + 4x + 4\)
Col. B: \(x^2 - 4x + 4\)
Subtracting \(x^2\) and \(4\) from both the sides and then dividing by \(4\);
Col. A: \(x\)
Col. B: \(-x\)
When x is +ve, Col. A > Col. B
When x is -ve, Col. A < Col. B
Hence, option D
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Joined: 23 Dec 2019
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Concentration: Finance, Economics
GMAT 1: 690 Q47 V38
GRE 1: Q165 V155
Re: (x+2)^2
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30 Mar 2021, 08:23
30 Mar 2021, 08:23
1
if x=0, both quantities are equal. if x=2, Quantity A is greater. So Equal & Unequal>>>> Option D
