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RU-ALLRUSSIAN 1991 Problem 18

  • Answer

p(x)\mathrm{p(x)} is the cubic x3−3x2+5x\mathrm{x}^3 - 3\mathrm{x}^2 +5\mathrm{x} . If h is a real root of p(x)=1\mathrm{p(x)} = 1 and k is a real root of p(x)=5\mathrm{p(x)} = 5 find h+k\mathrm{h} + \mathrm{k}

Dataset text NuminaMath olympiads. Quoted with source.

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