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

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New post 11 Jul 2018, 13:38
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IF X+Y=2 AND X^2+Y^2=2, what is the value of XY?
Intern
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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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New post 11 Jul 2018, 13:51
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!
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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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New post 11 Jul 2018, 13:57
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
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PKN

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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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New post 11 Jul 2018, 13:58
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, 13:58
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