# What are the critical points, if any, of #f(x,y) = 5x^2 + 4xy + 3y^2 - 52x - 56y + 13#?

##### 1 Answer

Jun 7, 2016

#### Explanation:

We will determine the stationary points instead. Those points observe the condition

In the present case we have

and for stationary points determination

solving for

Point qualification is obtained by computing

In this point we have

This matrix is positive definite because it have two positive eigenvalues