Quadratic trinomials in an array
Source: Tuymaada 2013, Day 2, Problem 6 Juniors
July 23, 2013
quadraticsabsolute valuealgebra proposedalgebra
Problem Statement
Quadratic trinomials with positive leading coefficients are arranged in the squares of a table. Their coefficients are all integers from to (each number is used once). Prove that at least in one column the sum of all trinomials has a real root.K. Kokhas & F. Petrov