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What is the value of y

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Source: — Data Sufficiency |
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by neoreaves » Sun Mar 21, 2010 4:49 am
IMO C
If x+y^2=(x+y^2)^2 what is the value of y ?

(1) x=y^2
(2) xy^2=0
Solving the equation we get-->

y ^2 = -x or y^2 = 1-x

1) Plugging value of x into the above two we get y = 0 or y = sqrt(1/2)
Insufficient

2) From this either x = 0 or y = 0
If x = 0 then we can plug into the two equations and we get y = 0 or y =1 or y = -1
Insufficient

C) from 1) and 2) y = 0


Thus C
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by eaakbari » Fri Mar 26, 2010 11:46 pm
IMO E


Statement 1: Put x = y^2 in equation and x can either be 0 or 2, so insuff

Statement 2: Open the bracket to obtain

x + y^2 = x^2 + y^4 + 2xy^2
Since xy^2 = 0
x + y^2 = x^2 + y^4 ------- 1
But insuff

Combined

Plud x=y^2 in equation 1
We get
x= x^2

Again x can be 0 or 1

Hence oa = E
Do give OA
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