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Posted: **Wed Aug 19, 2009 2:40 pm**

Aratati ca ecuatia \( x^5=4^{x+1} \) are exact doua radacini reale \( x_1<x_2 \) si calculati \( [x_2]-[x_1] \).

Ionel Tudor, Calugareni, Giurgiu

Posted: **Wed Aug 19, 2009 4:16 pm**

Folosim Sirul lui Rolle si obtinem

\( x_1\in (3,4) \) , \( x_2=4 \)

Concursul GM, ziua 2, problema 4