MathDB
ax^2 + bx + c takes an integer value for every integer x

Source: Polish MO Finals 1957 p3

August 29, 2024
number theoryInteger

Problem Statement

Prove that if the function ax2+bx+c ax^2 + bx + c takes an integer value for every integer value of the variable x x , then 2a 2a , a+b a + b , c c are integers and vice versa.
Back to ProblemsView on AoPS