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# Is x^2 + 2xy + y^2 > 0

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Math Expert
Joined: 02 Sep 2009
Posts: 49858
Is x^2 + 2xy + y^2 > 0  [#permalink]

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26 Feb 2017, 08:56
00:00

Difficulty:

35% (medium)

Question Stats:

64% (00:34) correct 36% (00:50) wrong based on 33 sessions

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Is x^2 + 2xy + y^2 > 0

(1) x > 0
(2) x + y > 0

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Joined: 08 Jul 2010
Posts: 2530
Location: India
GMAT: INSIGHT
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Re: Is x^2 + 2xy + y^2 > 0  [#permalink]

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26 Feb 2017, 22:07
1
1
Bunuel wrote:
Is x^2 + 2xy + y^2 > 0

(1) x > 0
(2) x + y > 0

Question: Is x^2 + 2xy + y^2 > 0
Question: Is (x+y)^2 > 0
But the square of any number is always positive except in one case when it's ZERO

Question: Is (x+y) = 0

Statement 1: x > 0
NOT SUFFICIENT

Statement 2: x + y > 0
SUFFICIENT

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Re: Is x^2 + 2xy + y^2 > 0 &nbs [#permalink] 26 Feb 2017, 22:07
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