olymmath

HMMT November 2017 E2

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  • Answer

Determine the sum of all distinct real values of xx such that

∣∣∣⋯∣∣x∣+x∣⋯∣+x∣+x∣=1|||\cdots|| x|+x|\cdots|+x|+x|=1

where there are 2017x2017 x 's in the equation.

Dataset text NuminaMath olympiads. Quoted with source.

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-\frac{2016}{2017}

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