More fun in 2015, Part 30

Algebra Level 5

\[q(x_1,...,x_{2015})=38\sum_{1\leq i<j\leq 2015}x_i x_j\]

Find the minimal value of \(q\) when \(\sum_{i=1}^{2015}x_i^2=91\), where the \(x_i\) are real numbers.

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