Optimal solution/lagrange multipliers

[Guest]

Hi
I need help figuring out how to solve this problem.

Minimize f(x) = x1^2 + x2^2
Subject to (x1 - 1)^3 - x2^2 = 0

(a) Show graphically that the optimal solution is at x1 =1, x2 =0.

My guess is that at the point x1 = 1, x2 = 0, is where these 2 equations meet, but I'm not sure.

 

[galactus]

I would suggest using x and y instead of the confusing x_1 and x_2

From now on use subscript or superscript to denote which is which.

x2 for x_2 could mean x times 2. Maybe try a little LaTex. That'd be even better.