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equation

Source: Ukraine 2005 grade 11

July 28, 2009
algebra unsolvedalgebra

Problem Statement

Solve in R \mathbb{R} the equation \left| x \minus{}\frac{\pi}{6} \right|\plus{}\left| x\plus{}\frac{\pi}{3} \right|\equal{}\arcsin \frac{x^3\minus{}x\plus{}2}{2}.