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What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x

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V
Joined: 02 Sep 2009
Posts: 49303
What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

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New post 01 Jul 2018, 23:40
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

54% (00:59) correct 46% (00:57) wrong based on 96 sessions

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Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

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New post 02 Jul 2018, 00:37
Bunuel wrote:

GMAT Club Tests' FRESH Question:



What is the value of x?


(1) \(x = \frac{1}{x^2}\)

(2) \(|x| = \frac{1}{x}\)



as x is in the denominator \(x\neq{0}\)

(1) \(x = \frac{1}{x^2}\)..
\(x = \frac{1}{x^2}..................x^3=1..........x=1\).
we could cross multiply as x^2 > 0
sufficient


(2) \(|x| = \frac{1}{x}\)
since |x|>0....\(\frac{1}{x}>0..........x>0\)...
so \(x^2=1......x=1\)
suff

D
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

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New post 02 Jul 2018, 07:44
Bunuel wrote:

GMAT Club Tests' FRESH Question:



What is the value of x?


(1) \(x = \frac{1}{x^2}\)

(2) \(|x| = \frac{1}{x}\)


In both the cases only the value 1 satisfies the equations.
Hence D is the Answer
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Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

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New post 02 Jul 2018, 08:22
chetan2u wrote:
Bunuel wrote:

GMAT Club Tests' FRESH Question:



What is the value of x?


(1) \(x = \frac{1}{x^2}\)

(2) \(|x| = \frac{1}{x}\)



as x is in the denominator \(x\neq{0}\)

(1) \(x = \frac{1}{x^2}\)..
\(x = \frac{1}{x^2}..................x^3=1..........x=1\).
we could cross multiply as x^2 > 0
sufficient


(2) \(|x| = \frac{1}{x}\)
since |x|>0....\(\frac{1}{x}>0..........x>0\)...
so \(x^2=1......x=1\)
suff

D


I think we can multiply easily because it is equality. even if the denominator is negative it is multiplied without problem,
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Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

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New post 03 Jul 2018, 08:08
IN THE SECOND OPTION, WE WILL GET X2=1 means + 1 or _1, so we need to put -1 and +1 again in the formula to check its viability.
When we put -1 we dont get any ans
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Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x &nbs [#permalink] 03 Jul 2018, 08:08
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