NL-NWO 2001 Problem 4

The function is given $f(x) = \frac{2x^3 -6x^2 + 13x + 10}{2x^2 - 9x}$ .

Determine all positive integers $x$ for which $f(x)$ is an integer

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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