MathDB
Square trinomials

Source: St Petersburg Olympiad 2009, Grade 10, P3

August 30, 2017
algebra

Problem Statement

f(x),g(x),h(x)f(x),g(x),h(x) are square trinomials with discriminant, that equals 22. And f(x)+g(x),f(x)+h(x),g(x)+h(x)f(x)+g(x),f(x)+h(x),g(x)+h(x) are square trinomials with discriminant, that equals 11. Prove,that f(x)+g(x)+h(x)f(x)+g(x)+h(x) has not roots.
Back to ProblemsView on AoPS