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If xy ≠ 0, what is the value of x

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Manager
Joined: 03 Jul 2013
Posts: 86
Schools: ISB '17 (A), IIMC (A)
GMAT 1: 660 Q48 V32
If xy ≠ 0, what is the value of x  [#permalink]

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Updated on: 04 Oct 2014, 04:14
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If xy ≠ 0, what is the value of x?

(1) yx^2 + 4xy + 4y = 0
(2) y = 6

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Originally posted by aadikamagic on 04 Oct 2014, 01:10.
Last edited by Bunuel on 04 Oct 2014, 04:14, edited 1 time in total.
Edited the question.
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Joined: 13 Jun 2013
Posts: 271
Re: If xy ≠ 0, what is the value of x  [#permalink]

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04 Oct 2014, 02:24
1
aadikamagic wrote:
If xy≠0, what is the value of x?

(1) yx^2+4xy+4y=0
(2) y=6
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
Both statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient to answer the question asked
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed

st. 1

y(x^2+4x+4)=0

y(x+2)^2=0;

now y cannot be zero as per the question. thus (x+2)^2=0;

i.e. x=-2
hence sufficient

st. 2 y=6

doesn't tell anything about x. hence insufficient.

answer should be A
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Re: If xy ≠ 0, what is the value of x  [#permalink]

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02 Dec 2017, 01:11
1
aadikamagic wrote:
If xy ≠ 0, what is the value of x?

(1) yx^2 + 4xy + 4y = 0
(2) y = 6

(1) y (x^2+4x+4) = 0 OR y (x+2)^2 = 0
So either y = 0 or (x+2)^2 = 0 or both. But since we are given that neither of x or y could be 0, we can conclude that (x+2)^2 = 0 or x=-2
Sufficient.

(2) y=6, clearly not sufficient to find x.

Hence A answer
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Re: If xy ≠ 0, what is the value of x  [#permalink]

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21 Sep 2018, 23:48
2
aadikamagic wrote:
If xy ≠ 0, what is the value of x?

(1) yx^2 + 4xy + 4y = 0
(2) y = 6

From st. 1
yx^2 + 4xy + 4y = 0

Take y common

y(x^2 + 4x + 4) = 0

Now either y=0, or (x^2 + 4x + 4 = 0)
but from the problem statement y ≠ 0

so, x^2 + 4x + 4 = 0

if you notice, this is (x+2)^2

so, if (x+2)^2 = 0, x+2 = 0, x=-2

St. 1 is Sufficient

St.2 is y = 6, it tells us nothing about X. Insuffcient

Hence, A

Hit Kudos if this helps!
Re: If xy ≠ 0, what is the value of x   [#permalink] 21 Sep 2018, 23:48
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