Applying Kuhn-Tucker theorem

Hello to everybody. I'm totally desparate about a problem I'm trying to solve and can't. Could anybody help me?

I want to **minimize** the quadratic function

under the constraints

using the Kuhn-Tucker theorem... I'm troubled when I find a value of y that must be equal to z and I can't find the minimum...

Re: Applying Kuhn-Tucker theorem

Never mind, I found the solution: the trick is to use the first constraint and substitute it in the given function. Then, you get a new function under only one constraint

I hope it's correct!