Super Sigma

Algebra Level pending

Given that \[\large \sum_{i=1}^{50} a_{i}^2 + 42925 = 2 \sum_{i=1}^{50} ia_{i}\] for \(a_{1}, a_{2}, \ldots , a_{50}\) are real numbers. Find \[\sum_{i=1}^{50} a_{i}.\]

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