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

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

1) X^2-Y^2=0
2) (X+Y)^2=0
SVP
Joined: 05 Jul 2006
Posts: 1565
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Kudos [?]: 63 [0], given: 34

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
Manager
Joined: 04 Oct 2006
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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.
SVP
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Kudos [?]: 63 [0], given: 34

Burningskulls , i believe you meant equal with opposite signs.
Director
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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.
VP
Joined: 25 Jun 2006
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E.

X = -Y does not say anything. take x = y = 0. and take x = 5 and y = -5.
SVP
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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
Senior Manager
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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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Senior Manager
Joined: 22 Sep 2005
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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.
Senior Manager
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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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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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