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Sep 25, 2018 at 22:45 comment added Max Alekseyev Thanks for the pointer on the factorization argument! Although I doubt that computing sum of reciprocals of even powers of $\lambda_k$ based on Newton-Girard formulas is that simple, at least it's not simpler than using substitution $x\mapsto \sqrt{x-2}$.
Sep 25, 2018 at 21:01 history answered Andreas Rüdinger CC BY-SA 4.0