MathDB

6

Part of 2023 Austrian MO National Competition

Problems(1)

Equation has 3 distinct rational roots

Source: Austria MO Final round 2023 P6

5/27/2023
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?
number theory