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# help me pls... IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?

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Intern
Joined: 10 Jul 2018
Posts: 6
help me pls... IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?  [#permalink]

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11 Jul 2018, 12:38
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IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?
Intern
Joined: 26 Mar 2017
Posts: 11
Location: India
GMAT 1: 640 Q47 V31
WE: Securities Sales and Trading (Other)
Re: help me pls... IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?  [#permalink]

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11 Jul 2018, 12:51
Hey,

(x+y)^2 = x^2 + y^2 + 2(xy)

x+y is given, hence you can find out (x+y)^2

and x^2 + y^2 is given as well.

Plug in the respective values in the above-mentioned theorem

You will get xy!
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 930
WE: Supply Chain Management (Energy and Utilities)
Re: help me pls... IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?  [#permalink]

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11 Jul 2018, 12:57
joaolucas193 wrote:
IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?

Hi, joaolucas193
I would request you to add answer choices & OA so as to enable us to solve the problem.

$$(x+y)^2=x^2+y^2+2xy$$
Both x+y & $$x^2+y^2$$are given, substitute & find xy.

Thanking you.

P.S:- Kindly follow the rules of posting.
https://gmatclub.com/forum/rules-for-po ... l#p1092822
https://gmatclub.com/forum/rules-for-po ... l#p1092822
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Math Expert
Joined: 02 Sep 2009
Posts: 50670
Re: help me pls... IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?  [#permalink]

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11 Jul 2018, 12:58
joaolucas193 wrote:
IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?

This question is discussed here: https://gmatclub.com/forum/if-x-y-2-and ... 26195.html Hope it helps.
_________________
Re: help me pls... IF X+Y=2 AND X^2+Y^2=2, what is the value of XY? &nbs [#permalink] 11 Jul 2018, 12:58
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