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Omni-MATH / The complex numbers α₁,α₂,α₃, and α₄ are the four distinct roots of the equation x⁴+2x³+2=0. Determine the unordered set α₁α₂+α₃α₄,α₁α₃+α₂α₄,α₁α₄+α₂α₃. · Discussion

Discussing The complex numbers α₁,α₂,α₃, and α₄ are the four distinct roots of the equation x⁴+2x³+2=0. Determine the unordered set {α₁α₂+α₃α₄,α₁α₃+α₂α₄,α₁α₄+α₂α₃}. · Omni-MATH

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