olymmath

RU-ALLRUSSIAN 1985 Problem 6

    The quadratic p(x)=ax2+bx+c\mathrm{p}(\mathrm{x}) = \mathrm{ax}^{2} + \mathrm{bx} + \mathrm{c} has a >100>100 . What is the maximum possible number of integer values x such that lp(x)<50\mathrm{lp}(\mathrm{x})< 50 ?

    Dataset text NuminaMath olympiads. Quoted with source.

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