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MathNet 2015-part-02 — 191 problems (EN–VI) Question 134

Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)

Question 134

Find all pairs $(a, b)$ of integers satisfying the equality
$$
3(a^2 + b^2) - 7(a + b) = -4.
$$