I want to confirm if I am right,
The critical points that i got from this equation
C = x4 - 8xy + 2y2 - 3
is (0,0)
The function is
Thus, and
Now to find the critical points, solve and
This would mean that and .
Solving the second equation, we have
Substituting this into the first equation, we have
Thus, or .
As a result, when:
Thus, your critical points should be , and
Does this make sense?