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AT-OEMO-REG 2004 Problem 2

    Solve the following equation for real numbers: 4−x4−(x−2)1+(x−5)(x−7)=5x−6−x22\sqrt{4-x\sqrt{4-(x-2)\sqrt{1+(x-5)(x-7)}}}=\frac{5x-6-x^2}{2} (all square roots are non negative)

    Dataset text AI-MO AoPS. Quoted with source.

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