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Exercice
Calculer \[\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{\dfrac{\dfrac{\dfrac{-\dfrac{11}{6}-4-\dfrac{64}{9}}{\dfrac{89}{8}-\dfrac{89}{8}}}{\dfrac{\dfrac{2}{0}}{-4-\dfrac{64}{7}}}}{6}}}{0}}{-4+\dfrac{131}{4}+\dfrac{38}{5}-0}}}{0}}{0}\]
Cliquer ici pour afficher la solution
Exercice
On a \( X=\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{\dfrac{\dfrac{\dfrac{-\dfrac{11}{6}-4-\dfrac{64}{9}}{\dfrac{89}{8}-\dfrac{89}{8}}}{\dfrac{\dfrac{2}{0}}{-4-\dfrac{64}{7}}}}{6}}}{0}}{-4+\dfrac{131}{4}+\dfrac{38}{5}-0}}}{0}}{0}=0\) . Voici le détail :
\begin{eqnarray*}
X &=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{\dfrac{\dfrac{\dfrac{-\dfrac{11}{6}-\dfrac{100}{9}}{\dfrac{89}{8}-\dfrac{89}{8}}}{\dfrac{\dfrac{2}{0}}{-4-\dfrac{64}{7}}}}{6}}}{0}}{-4+\dfrac{131}{4}+\dfrac{38}{5}-0}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{\dfrac{\dfrac{\dfrac{-\dfrac{11}{6}-\dfrac{100}{9}}{\dfrac{89}{8}-\dfrac{89}{8}}}{\dfrac{\dfrac{2}{0}}{-\dfrac{92}{7}}}}{6}}}{0}}{-4+\dfrac{131}{4}+\dfrac{38}{5}-0}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{\dfrac{\dfrac{\dfrac{-\dfrac{233}{18}}{\dfrac{89}{8}-\dfrac{89}{8}}}{\dfrac{\dfrac{2}{0}}{-\dfrac{92}{7}}}}{6}}}{0}}{-4+\dfrac{131}{4}+\dfrac{38}{5}-0}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{\dfrac{\dfrac{\dfrac{-\dfrac{233}{18}}{0}}{\dfrac{\dfrac{2}{0}}{-\dfrac{92}{7}}}}{6}}}{0}}{-4+\dfrac{131}{4}+\dfrac{38}{5}-0}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{\dfrac{\dfrac{\dfrac{-\dfrac{233}{18}}{0}}{\dfrac{0}{-\dfrac{92}{7}}}}{6}}}{0}}{-4+\dfrac{131}{4}+\dfrac{38}{5}-0}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{\dfrac{\dfrac{\dfrac{-\dfrac{233}{18}}{0}}{0}}{6}}}{0}}{-4+\dfrac{131}{4}+\dfrac{38}{5}-0}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{\dfrac{\dfrac{0}{0}}{6}}}{0}}{-4+\dfrac{131}{4}+\dfrac{38}{5}-0}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{\dfrac{0}{6}}}{0}}{-4+\dfrac{131}{4}+\dfrac{38}{5}-0}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{0}}{0}}{-4+\dfrac{131}{4}+\dfrac{38}{5}-0}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{0}}{0}}{\dfrac{115}{4}+\dfrac{38}{5}-0}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{0}}{0}}{\dfrac{727}{20}-0}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{\dfrac{-\dfrac{131}{4}}{0}}{0}}{\dfrac{727}{20}}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{\dfrac{0}{0}}{\dfrac{727}{20}}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{\dfrac{0}{\dfrac{727}{20}}}}{0}}{0}\\&=&\dfrac{\dfrac{\dfrac{6}{0}}{0}}{0}\\&=&\dfrac{\dfrac{0}{0}}{0}\\&=&\dfrac{0}{0}\\&=&0\\
\end{eqnarray*}