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# If xy ≠ 0 and x2y2 – xy = 6, which of the following could be

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If xy ≠ 0 and x2y2 – xy = 6, which of the following could be [#permalink]  25 Feb 2011, 07:23
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25% (medium)

Question Stats:

80% (02:07) correct 20% (02:02) wrong based on 46 sessions
If xy ≠ 0 and x^2*y^2 - xy = 6, which of the following could be y in terms of x?

I. 1/(2x)
II. – 2/x
III. 3/x

A. I only
B. II only
C. I and II
D. I and III
E. II and III
[Reveal] Spoiler: OA

Last edited by Bunuel on 10 Feb 2014, 04:08, edited 3 times in total.
Renamed the topic, edited the question and the OA.
Math Expert
Joined: 02 Sep 2009
Posts: 28331
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Kudos [?]: 45368 [1] , given: 6759

Re: how to solve [#permalink]  25 Feb 2011, 08:11
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naaga wrote:
If xy ≠ 0 and x2y2 – xy = 6, which of the following could be y in terms of x?

I. 1/(2x)
II. – 2/x
III. 3/x

A. I only
B. II only
C. I and II
D. I and III
E. II and III

If xy ≠ 0 and x^2*y^2 - xy = 6, which of the following could be y in terms of x?

I. 1/(2x)
II. - 2/x
III. 3/x

x^2*y^2-xy=6 --> (xy)^2-xy-6=0 --> (xy-3)(xy+2)=0 --> either xy-3=0 and in this case y=3/x or xy+2=0 and in this case y=-2/x.

naaga, please format the questions properly.

P.S. This is your third question for today with incorrect OA.
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Joined: 17 Feb 2011
Posts: 201
Concentration: Real Estate, Finance
Schools: MIT (Sloan) - Class of 2014
GMAT 1: 760 Q50 V44
Followers: 36

Kudos [?]: 566 [0], given: 70

Re: how to solve [#permalink]  25 Feb 2011, 08:35
Fantastic approach. Thanks!

Bunuel wrote:
naaga wrote:
If xy ≠ 0 and x2y2 – xy = 6, which of the following could be y in terms of x?

I. 1/(2x)
II. – 2/x
III. 3/x

A. I only
B. II only
C. I and II
D. I and III
E. II and III

If xy ≠ 0 and x^2*y^2 - xy = 6, which of the following could be y in terms of x?

I. 1/(2x)
II. - 2/x
III. 3/x

x^2*y^2-xy=6 --> (xy)^2-xy-6=0 --> (xy-3)(xy+2)=0 --> either xy-3=0 and in this case y=3/x or xy+2=0 and in this case y=-2/x.

naaga, please format the questions properly.

P.S. This is your third question for today with incorrect OA.
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Posts: 5389
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Kudos [?]: 60 [0], given: 0

Re: If xy ≠ 0 and x2y2 – xy = 6, which of the following could be [#permalink]  17 Jun 2015, 12:15
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If xy ≠ 0 and x2y2 – xy = 6, which of the following could be   [#permalink] 17 Jun 2015, 12:15
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