2013 ToT Spring Senior O p5 admissible integer trinomial, coefficients<=2013
Source:
March 5, 2020
algebratrinomialinteger roots
Problem Statement
A quadratic trinomial with integer coefficients is called admissible if its leading coeffi cient is , its roots are integers and the absolute values of coefficients do not exceed . Basil has summed up all admissible quadratic trinomials. Prove that the resulting trinomial has no real roots.