Question 17
Find all positive integers $x, y, z, t$ satisfying
$$
xy - zt = x + y = z + t
$$
such that $xy$ and $zt$ are both perfect squares.
$$
xy - zt = x + y = z + t
$$
such that $xy$ and $zt$ are both perfect squares.
MathNet 2019-part-07 — 184 problems (EN–VI) Question 17
Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)