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MathNet 2018-part-02 — 181 problems (EN–VI) Question 76

Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)

Question 76

Determine all positive integers $n$ for which the quadratic equation
$$
x^2 - 3nx + n + 3 = 0
$$
has integer solutions.