Question 93
Find all positive integers $a$, $b$ and $c$ such that $ab$ is a square, and
$$
a + b + c - 3\sqrt[3]{abc} = 1.
$$
$$
a + b + c - 3\sqrt[3]{abc} = 1.
$$
MathNet 2023-part-06 — 191 problems (EN–VI) Question 93
Math Olympiad Vault · MathNet 2023-part-06 — 191 problems (EN–VI)