$x$ and $y$ are real numbers where satisfied the equation $x^2+y^2+xy-3x-3y-9=0$
Find the max. and min. values of $x^2+y^2$
I don't know how to find the constraint
2026-04-08 04:11:47.1775621507
What is the constraint in this LaGrange Multipliers ??
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Your constraint is the curve $$x^2+y^2+xy-3x-3y-9=0$$ Hence, you need to consider the function $$f(x,y; \lambda) = x^2 + y^2 + \lambda (x^2+y^2+xy-3x-3y-9)$$ and differentiate with respect to $x,y$ and $\lambda$ and find the critical points.