Question 10
Find all triplets $(a, b, c)$ of positive integers satisfying the following identity:
$$
a^2 + b + 3 = (b^2 - c^2)^2.
$$
$$
a^2 + b + 3 = (b^2 - c^2)^2.
$$
MathNet 2019-part-04 — 184 problems (EN–VI) Question 10
Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)