Question 65
The positive integers $x$ and $y$ are such that the number $x^{2019}+x+y^{2}$ is divisible by $x y$.
a) Give an example of such integers $x$ and $y$ with $x\gt y$.
b) Verify that $x$ is necessarily a perfect square.
a) Give an example of such integers $x$ and $y$ with $x\gt y$.
b) Verify that $x$ is necessarily a perfect square.