Question 63
Determine all triples $(a,b,c)$ of integers which satisfy the equation
$$ (a-b)^3(a+b)^2 = c^2 + 2(a-b) + 1. $$
$$ (a-b)^3(a+b)^2 = c^2 + 2(a-b) + 1. $$
MathNet 2022-part-02 — 197 problems (EN–VI) Question 63
Math Olympiad Vault · MathNet 2022-part-02 — 197 problems (EN–VI)