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MathNet 2022-part-03 — 197 problems (EN–VI) Question 95

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 95

Solve in the set of real numbers the equation
$$
\cos \frac{\pi}{x} = -x^{6} - 4 x^{5} + 2 x^{4} + 12 x^{3} - 9 x^{2} - 1
$$