Ecuatie in numere complexe are o sol. de modul mai mic ca 2

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Cezar Lupu
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Ecuatie in numere complexe are o sol. de modul mai mic ca 2

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Fie \( a\in\mathbb{C} \) si \( n\in\mathbb{N} \), \( n\geq 2 \). Sa se arate ca ecuatia \( x^{n}+ax+a=0 \) admite cel putin o radacina de modul mai mic sau egal cu \( 2 \).

Marius Cavachi, R.M.I. C-ta, 2005
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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