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BALTIC-WAY 1991 Problem 6

  • Answer

Let [x][x] be the integer part of a number xx, and {x}=x−[x]\{x\}=x-[x]. Solve the equation

[x]⋅{x}=1991x.[x] \cdot\{x\}=1991 x .

Dataset text NuminaMath olympiads. Quoted with source.

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-\frac{1}{1992}

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