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Absolute value equations

Let \(a, b, c, d\) and \(e\) be real numbers such that:
\(|a-b|=2|b-c|=3|c-d|=4|d-e|=5|e-a|\)
Prove that:
\(a=b=c=d=e\).

Note by Ißra Jörg
7 months, 3 weeks ago

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