olymmath

RU-ALLRUSSIAN 1990 Problem 19

    A quadratic polynomial p(x)\mathrm{p(x)} has positive real coefficients with sum 1. Show that given any positive real numbers with product 1, the product of their values under p is at least 1.

    Dataset text NuminaMath olympiads. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Locator ru-allrussian/1990/p19 · Tag Z76JXW91P5 · Edit this page on GitHub · Keys: j next, k previous