Partea Intreaga

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Robert_Samoilescu95
Arhimede
Posts: 7
Joined: Sat Jan 02, 2010 8:14 pm

Partea Intreaga

Post by Robert_Samoilescu95 »

Sa se rezolve in R ecuatia :X^6-2[X]^3+1 =0
Last edited by Robert_Samoilescu95 on Fri Mar 12, 2010 6:48 pm, edited 1 time in total.
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Virgil Nicula
Euler
Posts: 622
Joined: Fri Sep 28, 2007 11:23 pm

Post by Virgil Nicula »

\( [x]\le x\ \Longrightarrow\ [x]^3\le x^3 \) . Asadar, \( 0\le \left(x^3-1\right)^2=-2\left(x^3-[x]^3\right)\le 0\ \Longrightarrow\ x=1 \) care verifica ecuatia initiala.
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