Concursul GM, ziua 2, problema 4

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Laurentiu Tucaa
Thales
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Concursul GM, ziua 2, problema 4

Post by Laurentiu Tucaa »

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
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Marius Mainea
Gauss
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Post by Marius Mainea »

Folosim Sirul lui Rolle si obtinem

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