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Let S=(∑k=14xkxk+1)2S=\left(\sum_{k=1}^{4}x_kx_{k+1}\right)^2S=(k=1∑4xkxk+1)2
Find the maximum of SSS when ∑k=15xk2=2\sum_{k=1}^{5}x_k^2=2∑k=15xk2=2 where x1,...,x5x_1,...,x_5x1,...,x5 are positive real numbers.
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