FI-MO 2007 Problem 2

Determine the number of real roots of the equation $x^8 - x^7 + 2x^6 - 2x^5 + 3x^4 - 3x^3 + 4x^2 - 4x +\frac{5}{2}= 0.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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