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Retired Moderator Joined: 07 Jun 2014
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GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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If x + y = -3 and x2 + y2 = 12, what is the value of 2xy? [#permalink]
Expert's post 00:00

Question Stats: 100% (01:07) correct 0% (00:00) wrong based on 3 sessions
If $$x + y = -3$$ and $$x^2 + y^2 = 12$$, what is the value of 2xy?

[Reveal] Spoiler: OA
-3

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Moderator  Joined: 07 Jan 2018
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Kudos [?]: 785 , given: 88

Re: If x + y = -3 and x2 + y2 = 12, what is the value of 2xy? [#permalink]
Given,$$x + y = -3$$ and $$x^2 + y^2 = 12$$

Let us square $$(x+y)$$:

$$x^2 + y^2 + 2xy = 9$$
or, $$12 + 2xy = 9$$; from the question stem we have $$x^2 + y^2 = 12$$
or, $$2xy = -3$$
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Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos Re: If x + y = -3 and x2 + y2 = 12, what is the value of 2xy?   [#permalink] 19 May 2018, 22:28
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