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TR-MO-R1 2012 Problem 3

    Aşağıdaki xx değerlerinden hangisi 6+x3+6−x3=33\sqrt[3]{6+\sqrt{x}}+\sqrt[3]{6-\sqrt{x}} = \sqrt[3]{3} eşitliğini sağlar?

    a) 27 b) 32 c) 45 d) 52 e) 63

    Official text Turkish Mathematical Olympiad, first round 2012 official paper, page 2. Quoted with source.

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