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MathNet 2005 — Part 03 Question 96

Math Olympiad Vault · MathNet 2005 — Part 03

Question 96

Solve (in real numbers) the equation
$$
\left|x - \frac{\pi}{6}\right| + \left|x + \frac{\pi}{3}\right| = \arcsin \frac{x^3 - x + 2}{2}.
$$