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GRE Math Challenge #3- x^2+1 or 2x-1

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GRE Math Challenge #3- x^2+1 or 2x-1 [#permalink] New post 29 May 2014, 01:46
Expert's post
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

100% (01:02) correct 0% (00:00) wrong based on 2 sessions

Quantity A

x^2+1

Quantity 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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Re: GRE Math Challenge #3- x^2+1 or 2x-1 [#permalink] New post 16 Mar 2017, 01:16
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Re: GRE Math Challenge #3- x^2+1 or 2x-1 [#permalink] New post 24 Mar 2017, 06:09
Expert's post
soumya1989 wrote:

Quantity A

x² + 1

Quantity B

2x - 1



Quantity 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:
[Reveal] Spoiler:
A


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Re: GRE Math Challenge #3- x^2+1 or 2x-1   [#permalink] 24 Mar 2017, 06:09
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GRE Math Challenge #3- x^2+1 or 2x-1

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