olymmath

USAMO 1977 Problem 3

  • Day 1

Prove that the product of the two real roots of x4+x3−1=0x^{4}+x^{3}-1=0 is a root of x6+x4+x3−x2−1=0x^{6}+x^{4}+x^{3}-x^{2}-1=0.

Dataset text NuminaMath olympiads. Quoted with source.

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