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Omni-MATH / Let n≥2 be an integer. Find all real numbers a such that there exist real numbers x₁, …,x_(n) satisfying x₁(1−x₂)=x₂(1−x₃)=…=x_(n−1)(1−x_(n))=x_(n)(1−x₁)=a · Discussion

Discussing Let n≥2 be an integer. Find all real numbers a such that there exist real numbers x₁, …,x_(n) satisfying x₁(1−x₂)=x₂(1−x₃)=…=x_(n−1)(1−x_(n))=x_(n)(1−x₁)=a · Omni-MATH

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