ax^2 +bx+c and (a+1)x^2 +(b + 1)x + (c + 1)
Source: ARMO 1997, 10.5
April 20, 2013
quadraticsmodular arithmeticalgebrapolynomialalgebra proposed
Problem Statement
Do there exist two quadratic trinomials and with integer coeficients, both of which have two integer roots?
N. Agakhanov