Question

I have to find the critical points of this function of two variables 4%2By%5E4-16%28x%2By%29%5E2%5C%5C" id="TexFormula1" title="\\f(x,y)=x^4+y^4-16(x+y)^2\\" alt="\\f(x,y)=x^4+y^4-16(x+y)^2\\" align="absmiddle" class="latex-formula">, for this we use the gradient method which equals to ZERO the first partial derivatives. After clearing both equations we should find the following points: P (__, 0), Q (4, __), R (4, __) My problem is that I cannot clear the following equations:
$\\1) 4x^{3} -32x -32y = 0\\2) 4y^{3} -32x-32y = 0$
Is there any way to deal with these equations of degree n?

Answer 1

Answer:

no i dont think there is

Explanation:

because theres not