Find all integers $x,y,z$ such that $x^3 +5y^3 = 9z^3$.
Problem
Source: Norwegian Mathematical Olympiad 1994 - Abel Competition p2b
Tags: Diophantine equation, diophantine, number theory
Source: Norwegian Mathematical Olympiad 1994 - Abel Competition p2b
Tags: Diophantine equation, diophantine, number theory
Find all integers $x,y,z$ such that $x^3 +5y^3 = 9z^3$.