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NMC 2001 Problem 3

  • Answer

Determine the number of real roots of the equation

x8−x7+2x6−2x5+3x4−3x3+4x2−4x+52=0x^{8}-x^{7}+2 x^{6}-2 x^{5}+3 x^{4}-3 x^{3}+4 x^{2}-4 x+\frac{5}{2}=0

Dataset text NuminaMath olympiads. Quoted with source.

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