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Source: Find strictly positive real numbers...

January 2, 2010
algebra unsolvedalgebra

Problem Statement

Determine strictly positive real numbers a1,a2,...,an a_{1},a_{2},...,a_{n} if for any nN n\in N^* takes place equality: a_{1}^2\plus{}a_{2}^2\plus{}...\plus{}a_{n}^2\equal{}a_{1}\plus{}a_{2}\plus{}...\plus{}a_{n}\plus{}\frac{n(n^2\plus{}6n\plus{}11)}{3}