MathDB
quadratic trinomial with integers 2 of it's coefficients

Source: Tuymaada 2017 Seniors Q5 (day 2 P1)

September 26, 2017
QuadratictrinomialInteger Polynomialalgebra

Problem Statement

Does there exist a quadratic trinomial f(x)f(x) such that f(1/2017)=1/2018f(1/2017)=1/2018, f(1/2018)=1/2017f(1/2018)=1/2017, and two of its coefficients are integers?
(A. Khrabrov)
Back to ProblemsView on AoPS