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MathNet 2023-part-01 — 191 problems (EN–VI) Question 40

Math Olympiad Vault · MathNet 2023-part-01 — 191 problems (EN–VI)

Question 40

Determine whether there exists a real number $r$ such that the equation
$$
x^3 - 2023x^2 - 2023x + r = 0
$$
has three different rational solutions.