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Omni-MATH / Suppose m>n>1 are positive integers such that there exist n complex numbers x₁,x₂,…,x_(n) for which - x₁^(k)+x₂^(k)+⋯+x_(n)^(k)=1 for k=1,2,…,n−1 - x₁^(n)+x₂^(n)+⋯+x_(n)^(n)=2; and… · Discussion

Discussing Suppose m>n>1 are positive integers such that there exist n complex numbers x₁,x₂,…,x_(n) for which - x₁^(k)+x₂^(k)+⋯+x_(n)^(k)=1 for k=1,2,…,n−1 - x₁^(n)+x₂^(n)+⋯+x_(n)^(n)=2; and… · Omni-MATH

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