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\begin{document}
%%%%%%%%%%b{gedeonInfo}%%%%%%%%%

%%--Document N° 1445094107925--

%%--Equations et fonction--

%%%%%%%%%%e{gedeonInfo}%%%%%%%%%





\begin{exercise}

\begin{enumerate}

\item \label{forcePass2}On consid\`{e}re l'\'{e}quation d'inconnue r\'{e}elle

$x$:

\[

x^{2}-22x-903=0

\]





Montrer que le r\'{e}el $-21$ est solution de l'\'{e}quation \eqref{1712011610}.



\item On consid\`{e}re la fonction $f$ d\'{e}finie sur $\mathbb{R} \xspace$

par: $f(x)=x^{2}-22x-903$  et $\mathcal{C}_{f}$ sa courbe repr\'{e}sentative.



Traduire le fait que le r\'{e}el $-21$ est solution de l'\'{e}quation~\eqref{1712011610}:



\begin{enumerate}

\item par une \'{e}galit\'{e} utilisant \og$f$\fg; 



\item par une phrase contenant le mot \og ant\'{e}c\'{e}dent\fg; 



\item par une phrase contenant le mot \og intersection\fg.

\end{enumerate}



\item

\begin{enumerate}

\item D\'{e}velopper, ordonner et r\'{e}duire l'expression: $(x-11)^{2}-1024$. 



\item Factoriser l'expression: $(x-11)^{2}-1024$. 



\item En d\'{e}duire toutes les solutions de l'\'{e}quation \eqref{1712011610}.

\end{enumerate}



\item Dans les questions pr\'{e}c\'{e}dentes, vous avez obtenu plusieurs

\'{e}critures de $f(x)$. Choisir celle qui convient le mieux pour r\'{e}soudre

dans $\mathbb{R}\xspace$ les \'{e}quations suivantes:%



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\begin{enumerate}

\item $f(x)=-903$; 



\item $f(x)=-22x$.

\end{enumerate}%



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\item R\'{e}soudre dans $\mathbb{R}\xspace$ l'\'{e}quation: $x^{3}%

-22x^{2}-903x=0$.

\end{enumerate}

\end{exercise}





\end{document}