olymmath

RU-ALLRUSSIAN 1969 Problem 5

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What is the smallest positive integer a such that we can find integers b and c so that ax2+bx+c\mathrm{ax}^2 +\mathrm{bx} + \mathrm{c} has two distinct positive roots less than 1?

Dataset text NuminaMath olympiads. Quoted with source.

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