MathDB
x^2+mx * n = 0

Source: 2012 Cuba MO 2.3

September 18, 2024
algebra

Problem Statement

A mathematics teacher writes a quadratic equation on the blackboard of the form x2+mx⋆n=0x^2+mx \star n = 0, with mm and nn integers. The sign of nn is blurred. Even so, Claudia solves it and obtains integer solutions, one of which is 20112011. Find all possible values of mm and nn.