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aren't u supposed to use lagrangian Constrained Optimization ?

yeah, but why there is n+1 equations?

we also have dL/d入=x1^2+x2^2+...xn^2-1 right?

n partial derivatives and the constrained itself is one of the equations so u have n+1 equation

then i got x1^2+x2^2+....xn^2=1

L=f+g入

then dL/dx1 =1+2x1入 but not zero?

emm...what i know as standard form for L is f-gλ

and note that u want to find max and min of f not L

i hope its clear

no problem :)