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MathNet 2019-part-02 — 184 problems (EN–VI) Question 133

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 133

Find all pairs $(a, b)$ of integers such that $b \ge 0$ and
$$
a^2 + 2ab + b! = 131.
$$
(Olimpiada Matemática del Istmo Centroamericano 2017)