L'exercice suivant est automatiquement et aléatoirement généré par ataraXy.
Si vous regénérez la page (F5) les valeurs seront changées.
La correction se trouve en bas de page.
Exercice
Calculer \[\dfrac{\dfrac{-2}{\dfrac{93}{8}+0-2+0+\dfrac{19}{6}+\dfrac{22}{5}}}{\dfrac{22}{5}\times\left(-\dfrac{49}{8}\right)\times0\times\left(\dfrac{19}{6}-\dfrac{\dfrac{93}{8}}{12}-12\right)}\]
Cliquer ici pour afficher la solution
Exercice
On a \( X=\dfrac{\dfrac{-2}{\dfrac{93}{8}+0-2+0+\dfrac{19}{6}+\dfrac{22}{5}}}{\dfrac{22}{5}\times\left(-\dfrac{49}{8}\right)\times0\times\left(\dfrac{19}{6}-\dfrac{\dfrac{93}{8}}{12}-12\right)}=0\) . Voici le détail :
\begin{eqnarray*}
X &=&\dfrac{\dfrac{-2}{\dfrac{93}{8}+0-2+\dfrac{19}{6}+\dfrac{22}{5}}}{\dfrac{22}{5}\times\left(-\dfrac{49}{8}\right)\times0\times\left(\dfrac{19}{6}-\dfrac{\dfrac{93}{8}}{12}-12\right)}\\&=&\dfrac{\dfrac{-2}{\dfrac{93}{8}+0-2+\dfrac{227}{30}}}{\dfrac{22}{5}\times\left(-\dfrac{49}{8}\right)\times0\times\left(\dfrac{19}{6}-\dfrac{\dfrac{93}{8}}{12}-12\right)}\\&=&\dfrac{\dfrac{-2}{\dfrac{93}{8}+0+\dfrac{167}{30}}}{\dfrac{22}{5}\times\left(-\dfrac{49}{8}\right)\times0\times\left(\dfrac{19}{6}-\dfrac{\dfrac{93}{8}}{12}-12\right)}\\&=&\dfrac{\dfrac{-2}{\dfrac{93}{8}+0+\dfrac{167}{30}}}{\dfrac{22}{5}\times\left(-\dfrac{49}{8}\right)\times0\times\left(\dfrac{19}{6}-\dfrac{31}{32}-12\right)}\\&=&\dfrac{\dfrac{-2}{\dfrac{93}{8}+\dfrac{167}{30}}}{\dfrac{22}{5}\times\left(-\dfrac{49}{8}\right)\times0\times\left(\dfrac{19}{6}-\dfrac{31}{32}-12\right)}\\&=&\dfrac{\dfrac{-2}{\dfrac{93}{8}+\dfrac{167}{30}}}{\dfrac{22}{5}\times\left(-\dfrac{49}{8}\right)\times0\times\left(\dfrac{211}{96}-12\right)}\\&=&\dfrac{\dfrac{-2}{\dfrac{93}{8}+\dfrac{167}{30}}}{\dfrac{22}{5}\times\left(-\dfrac{49}{8}\right)\times0\times-\dfrac{941}{96}}\\&=&\dfrac{\dfrac{-2}{\dfrac{2063}{120}}}{\dfrac{22}{5}\times\left(-\dfrac{49}{8}\right)\times0\times-\dfrac{941}{96}}\\&=&\dfrac{\dfrac{-2}{\dfrac{2063}{120}}}{\left(-\dfrac{539}{20}\right)\times0\times-\dfrac{941}{96}}\\&=&\dfrac{\dfrac{-2}{\dfrac{2063}{120}}}{0\times-\dfrac{941}{96}}\\&=&\dfrac{\dfrac{-2}{\dfrac{2063}{120}}}{0}\\&=&\dfrac{-\dfrac{240}{2063}}{0}\\&=&0\\
\end{eqnarray*}