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# If x+y^2=(x+y^2)^2 What si the value of y? 1) x=y^2 2)

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Manager
Joined: 30 Aug 2005
Posts: 186
If x+y^2=(x+y^2)^2 What si the value of y? 1) x=y^2 2) [#permalink]

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09 Dec 2005, 08:37
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If x+y^2=(x+y^2)^2
What si the value of y?
1) x=y^2
2) xy^2=0[/img]
Director
Joined: 14 Sep 2005
Posts: 985
Location: South Korea
Re: DS Kaplan Higher score [#permalink]

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09 Dec 2005, 09:07
rianah100 wrote:
If x+y^2=(x+y^2)^2
What is the value of y?
1) x=y^2
2) xy^2=0

If (x+y^2)=0, x = 0 & y = 0.
If (x+y^2)=/=0, (x+y^2)=1

(x+y^2) = (x+y^2)^2 ?

Statement1) x=y^2
If x = y = 0, y = 0
If x =/= 0 and y =/= 0, (2y^2)=1
y^2=1/2
y=root2/2 or y = -root2/2
Insufficient

Statement2) xy^2=0 (x = 0 or y = 0)
Insufficient

Statement1&2) x=y=0
Sufficient

I vote for (C).
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Auge um Auge, Zahn um Zahn !

Re: DS Kaplan Higher score   [#permalink] 09 Dec 2005, 09:07
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