What Are the Critical Points of f(x, y) = 5x^2 - 3xy + y^2 - 15x - y + 2?

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Find the critical point(s) for the function:
f(x,y)=5x^2-3xy+y^2-15x-y+2 and classify it.

Can anyone help? Thanks.
 
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So you have any thoughts or views about the problem and how it could be approached?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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