What-is-the-maximum-and-minimum-value-of-x-2-y-2-z-2-subject-to-x-2-4-y-2-5-z-2-25-1-and-z-x-y-

Question Number 134432 by liberty last updated on 03/Mar/21

What is the maximum and minimum

value of x^{2} + y^{2} + z^{2} subject to

\frac{x^{2}}{4} + \frac{y^{2}}{5} + \frac{z^{2}}{25} = 1 and z = x + y .