Question 55
Find all the integer solutions $(x, y, z)$ of the equation
$$
(x + y + z)^5 = 80xyz(x^2 + y^2 + z^2).
$$
$$
(x + y + z)^5 = 80xyz(x^2 + y^2 + z^2).
$$
MathNet 2016-part-01 — 184 problems (EN–VI) Question 55
Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)