KöMaL 2024 K816

Expression ${E(x)=\frac{8x-12}{4x^2-12x+9}-\frac{5x}{2x^2+3x}-\frac{20x}{9-4x^2}}$ is given. Find integers $x$ for which $E(x)$ is a natural number.

Official text KöMaL. Quoted with source.

Solutions

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