Question 34
Show that there are infinitely many triples $(a, b, c)$ of positive integers such that
$$a^{2} + b^{2} + c^{2} + (a + b + c)^{2} = abc.$$
$$a^{2} + b^{2} + c^{2} + (a + b + c)^{2} = abc.$$
MathNet 2025 — Part 01 (100 complete bilingual questions) Question 34
Math Olympiad Vault · MathNet 2025 — Part 01 (100 complete bilingual questions)