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Does X=Y? 1) X^2-Y^2=0 2) (X+Y)^2=0

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Does X=Y? 1) X^2-Y^2=0 2) (X+Y)^2=0 [#permalink] New post 18 Oct 2006, 13:28
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Does X=Y?

1) X^2-Y^2=0
2) (X+Y)^2=0
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 [#permalink] New post 18 Oct 2006, 13:40
Does X=Y?

1) X^2-Y^2=0
2) (X+Y)^2=0

FROM ONE

X, Y COULD BE 1,-1 OR BOTH = ZERO..INSUFF

FROM TWO

X = -Y OR X,Y = ZERO INSUFF

BOTH INSUFF MY ANSWER IS E
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 [#permalink] New post 18 Oct 2006, 15:00
B is sufficient. If X,Y were 1,-1 the equation in B would not hold.

They only way to square something and get 0 is if that thing is 0.....so....(x+Y) = 0

The only way for X+Y to equal 0 is if X and Y are the same.
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 [#permalink] New post 18 Oct 2006, 15:03
Burningskulls , i believe you meant equal with opposite signs. :wink:
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 [#permalink] New post 18 Oct 2006, 16:03
Does X=Y?

It's B.

Statement 1:
x =+/- y INSUFF

Statement 2:

x+y = 0
x= -y SUFF

Hopefully, I got this one right.
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 [#permalink] New post 18 Oct 2006, 19:25
E.

X = -Y does not say anything. take x = y = 0. and take x = 5 and y = -5.
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 [#permalink] New post 31 Oct 2006, 07:49
tennis_ball wrote:
B is not suff. I dispute the OA.


I'm getting E as well.

X=Y=0

or

X=1 and Y=-1
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 [#permalink] New post 31 Oct 2006, 07:52
Same here. This should be E as x and y could be 1, -1 (2, -2 etc...) OR they can both be zero for statement 1 & 2.

Where is this questions from?
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 [#permalink] New post 03 Nov 2006, 21:38
I understand you.

I put E too, but OA I have is B.

Perhaps there is a mistake.

I will put E.

Thanks to everybody.
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 [#permalink] New post 03 Nov 2006, 22:01
E.

i) x^2 = y^2 INS
ii) (x+y)^2 = 0
x + y = 0
x = -y , i.e. x could = -5 and y = 5, or they could both be 0 INS

both INS
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 [#permalink] New post 04 Nov 2006, 18:48
I agree with the majority. x=-y doesn't mean that they cannot equal, unless it is specified that they are non zero.
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  [#permalink] 04 Nov 2006, 18:48
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