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So far ive deduced that I need to use a lagrange multiplier L say, so i think i need to solve the equations :

3x^2=-2Lx

-2y^2=-2Ly

and

1-x^2-y^2 >=0

Is that correct? I'm finding it hard to solve as the 1st and second EQ only have one variable other than the multiplier..

any help would be appreciated!