Hi everyone!

I've been stuck on this one for some hours now (about 5 hours to be honest) and I just can't solve it. It is actually a "find min. and max. points"-question but I've come so far that I just have to solve for the Lagrange multiplier and the three equations that I have are:

4y

^{2}-2x = 2*lambda*x

8*xy = 2*lambda*y

x

^{2}+y

^{2}=1

**HOW DO YOU GET THIS?**
I need to solve for x and y and x has to be greater than zero.

I have to do this by hand and I really hope that some of you smart people can figure this out! the result should be three points.

Thanks in advance, I appreciate every help I can get!

EDIT: the

function that I've initially been given is 4xy

^{2}-x

^{2} and it is in the

domain of R

^{2} with the restriction: x

^{2}+y<=1, x>=0

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