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AT-OEMO-REG 2002 Problem 2

    Solve the following system of equations over the real numbers: 2x1=x52−232x_1 = x_5 ^2 - 23 4x2=x12+74x_2 = x_1 ^2 + 7 6x3=x22+146x_3 = x_2 ^2 + 14 8x4=x32+238x_4 = x_3 ^2 + 23 10x5=x42+3410x_5 = x_4 ^2 + 34

    Dataset text AI-MO AoPS. Quoted with source.

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