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# If x ≠ 0 and (−y^2 − xy)/x=y+x, which of the following expressions is

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Math Expert
Joined: 02 Sep 2009
Posts: 64101
If x ≠ 0 and (−y^2 − xy)/x=y+x, which of the following expressions is  [#permalink]

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14 Apr 2016, 01:31
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Difficulty:

65% (hard)

Question Stats:

48% (01:35) correct 52% (01:47) wrong based on 73 sessions

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If x ≠ 0 and (−y^2 − xy)/x=y+x, which of the following expressions is equal to its opposite?

A. x^2
B. x^2 – y^2
C. y^2
D. (y + x)^2
E. (x – y)^2

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Re: If x ≠ 0 and (−y^2 − xy)/x=y+x, which of the following expressions is  [#permalink]

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14 Apr 2016, 03:19
1
(−y^2 − xy)/x=y+x
=> −y^2 − xy = xy +x^2
=> x^2 + 2xy + y^2 = 0
=> (x+y)^2 = 0

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Re: If x ≠ 0 and (−y^2 − xy)/x=y+x, which of the following expressions is  [#permalink]

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24 Sep 2018, 16:05
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Re: If x ≠ 0 and (−y^2 − xy)/x=y+x, which of the following expressions is   [#permalink] 24 Sep 2018, 16:05