Question 5
Let $$n > k > 1$$ be positive integers. Determine all positive real numbers $$a_{1},a_{2},....,a_{n}$$ which satisfy $$\sum_{i=1}^{n} \sqrt{\frac{ka_{i}^{k}}{(k-1)a_{i}^{k} + 1}} = \sum_{i=1}^{n}a_{i} = n$$.
Correct Answer: e
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