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Romania District Olympiad 2001 - Grade XII

Source:

March 16, 2011
algebrapolynomialsuperior algebrasuperior algebra unsolved

Problem Statement

Let KK commutative field with 88 elements. Prove that (∃)a∈K(\exists)a\in K such that a3=a+1a^3=a+1.
Mircea Becheanu
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