Need help to continue with the following solution: Find the stationary points of the function,

subject to the constraint,

equating,

Substituting for x in [1]

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- December 1st 2006, 06:09 AMashuraNeed help with Constrained Optimization
Need help to continue with the following solution: Find the stationary points of the function,

subject to the constraint,

equating,

Substituting for x in [1]

- December 1st 2006, 06:33 AMtopsquark
- December 1st 2006, 07:56 AMashura
That's what i'm trying to do here,

equating,

Substituting for x in [1]

But I would like a simpler expression for,

- December 1st 2006, 12:41 PMtopsquark
Sorry. I had a brain fart this morning. I see what you are doing now.

I've played with this system for a while and can't see any way to make it less of a nightmare. Whether or not you get the equation in x or in y you wind up with a quartic equation which just doesn't look like it's got nice solutions. You'll have to do it numerically. Looking at the graph of the x equation it looks like you've got 2 real solutions lurking. One is near x = 1/2 and the other is large and negative.

-Dan