MathDB
Equation has 3 distinct rational roots

Source: Austria MO Final round 2023 P6

May 27, 2023
number theory

Problem Statement

Does there exist a real number rr such that the equation x3−2023x2−2023x+r=0x^3-2023x^2-2023x+r=0 has three distinct rational roots?
Back to ProblemsView on AoPS