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Joined: 16 May 2014
Posts: 590
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GRE 1: Q165 V161
GRE Math Challenge #3- x^2+1 or 2x-1
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29 May 2014, 01:46
29 May 2014, 01:46
Expert Reply
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Question Stats:
40% (00:34) correct
60% (00:47) wrong based on 15 sessions
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Quantity A
x^2+1Quantity B
2x-1(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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Joined: 10 Apr 2015
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Re: GRE Math Challenge #3- x^2+1 or 2x-1
[#permalink]
24 Mar 2017, 06:09
24 Mar 2017, 06:09
1
soumya1989 wrote:
Quantity A
x² + 1Quantity B
2x - 1Quantity A: x² + 1
Quantity B: 2x - 1
Hmmm, we have an x² terms and a 2x term. This looks very familiar to the expansion of either (x + 1)² or (x - 1)²
Let's explore this further.
Subtract 2x from both quantities to get:
Quantity A: x² - 2x + 1
Quantity B: -1
Factor to get:
Quantity A: (x - 1)²
Quantity B: -1
Since Quantity A is the SQUARE of some value, we know that Quantity A must be greater than or equal to 0
So, Quantity A must be greater than -1 (Quantity B)
Answer:
Show: ::
A
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