MathDB
rational root of integer ax^2 + bx + c =

Source: Polish MO Finals 1959 p4

August 29, 2024
algebrarationalpolynomial

Problem Statement

Prove that if a quadratic equation ax2+bx+c=0 ax^2 + bx + c = 0 with integer coefficients has a rational root, then at least one of the numbers a a , b b , c c is even.