ONM 2001, Problema 4

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maxim bogdan
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ONM 2001, Problema 4

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Sa se determine sistemele ordonate \( (x,y,z) \) de numere rationale pozitive pentru care \( x+\frac{1}{y};y+\frac{1}{z};z+\frac{1}{x} \) sunt numere intregi.
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