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Omni-MATH / Determine all real values of A for which there exist distinct complex numbers x₁,x₂ such that the following three equations hold: x₁(x₁+1)=A x_2(x_2+1) =A x₁⁴+3x₁³+5x₁=x₂⁴+3x₂³+5x₂ · Discussion

Discussing Determine all real values of A for which there exist distinct complex numbers x₁,x₂ such that the following three equations hold: x₁(x₁+1)=A x_2(x_2+1) =A x₁⁴+3x₁³+5x₁=x₂⁴+3x₂³+5x₂ · Omni-MATH

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