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if x and y are different integers and x^2=xy, which of the

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Manager
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if x and y are different integers and x^2=xy, which of the [#permalink] New post 24 Sep 2007, 07:33
if x and y are different integers and x^2=xy, which of the following must be true?
1.x=0
2.y=0
3.x=-y
A.1 only
B.2 only
C.3 only
D.1 & 3 only
E.1,2 & 3.
Director
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Re: Integers [#permalink] New post 24 Sep 2007, 08:12
el1981 wrote:
if x and y are different integers and x^2=xy, which of the following must be true?
1.x=0
2.y=0
3.x=-y
A.1 only
B.2 only
C.3 only
D.1 & 3 only
E.1,2 & 3.


got A,

I think the key phrase is "X and Y are different intengers".

1: 0^2=O. ANY INTENGER, always true.
2: ANY INTENGER^2=0^2, can not be, cuz if Y is zero, X must be something else, as stem says.
3: (-Y)^2=-Y.Y, can be true only if Y is zero, stem does not give such info.

thus only 1st...
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 [#permalink] New post 24 Sep 2007, 08:33
I say C..

the question is asking |x|=xy

for any X...and for any Y...


x=-y

x=0 is just a subset of all the possible values of x that would work..

x=-y works for all values of X...
Director
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 [#permalink] New post 24 Sep 2007, 09:10
fresinha12 wrote:
I say C..

the question is asking |x|=xy

for any X...and for any Y...


x=-y

x=0 is just a subset of all the possible values of x that would work..

x=-y works for all values of X...


Can u please elborate on the text in red...? how is it deducted from the stem?
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Re: Integers [#permalink] New post 24 Sep 2007, 09:14
x^2 - xy = 0
x (x -y) = 0
x=0 or x - y = 0; x=y
x=y cant be true because x and y are different integers.
only x=0 stands.
A.
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 [#permalink] New post 24 Sep 2007, 09:44
the answer is A.
Thank you guys. Now i got it.
  [#permalink] 24 Sep 2007, 09:44
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