olymmath

SE-SKOLORNAS 1994 Problem 1

    x8+1x8=8x\sqrt8 + \frac{1}{x\sqrt8} = \sqrt8 has two real solutions x1,x2x_1, x_2 . The decimal expansion of x1x_1 has the digit 66 in place 19941994 . What digit does x2x_2 have in place 19941994 ?

    Dataset text AI-MO AoPS. Quoted with source.

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