I'm looking for a proof of a validity of the inequation:(adsbygoogle = window.adsbygoogle || []).push({});

[itex](n-1)\sum_{i=1}^{n}x_{i}^{2}\neq 2\sum_{i=1,j=1,j<i}^{n}x_{i}x_{j}[/itex]

Assumptions:

[itex]n\geq 2[/itex]

[itex]\exists (i,j),x_{i}\neq x_{j}[/itex]

[itex]i=1,...,n[/itex]

[itex]j=1,...,n[/itex]

I have no idea how to prove those non-trivial expressions.

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# Proof of the nontrivial expression

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