<h2>Exemple simple de tableau</h2>
 Cas \(\Delta > 0). Les solutions de (E) sont notes \(\alpha) et \(\beta) dans l'ordre croissant.

<table align="center" border=1 bgcolor="#E8E4D8" width="50%">
   <tr align="center">
     <td>x</td>
     <td>\  </td>
 <td>\(\alpha)</td>
 <td> </td>
 <td>\(\beta)</td>
 <td> </td>
   </tr>
   <tr align="center">
     <td>\(ax^2 + bx + c)</td>
     <td>signe de \(a)</td>
 <td>\(0)</td>
 <td>signe de \(-a)</td>
 <td>\(0)</td>
 <td>signe de \(a)</td>
   </tr> 
 </table>

<h2>Tableau complet</h2>
<div class="ccc">Le tableau suivant prsente le signe de \(ax^2 + bx + c = 0) selon la valeur 
de \(x):
</center>
<table align="center" border =1 bgcolor="#E8E4D8" width="80%">
<tr align="center" valign="center">
<td width="14%"  rowspan=2>\(Delta<0)</td>
<td width="14%" >\(x)</td>
<td width="71%"  colspan=7>&nbsp;</td>
</tr>
<tr align="center" valign="center">
<td width="14%" >\(ax^2 + bx + c)</td>
<td width="71%"  colspan=7>signe de \(a)</td>
</tr>
<tr align="center" valign="center">
<td width="14%"  rowspan=2>\(Delta = 0)</td>
<td width="14%" >\(x)</td>
<td width="32%"  colspan=3>&nbsp;</td>
<td width="6%" >\(x_0)</td>
<td width="33%"  colspan=3>&nbsp;</td>
</tr>
<tr align="center" valign="center">
<td width="14%" >\(ax^2 + bx + c)</td>
<td width="32%" colspan=3>signe de \(a)</td>
<td width="6%"> 0</td>
<td width="33%"  colspan=3>signe de \(a)</td>
</tr>
<tr align="center" valign="center">
<td width="14%"  rowspan=2>\(Delta>0)</td>
<td width="14%" >\(x)</td>
<td width="18%" >&nbsp;</td>
<td width="6%" >\(x')</td>
<td width="23%"  colspan=3>&nbsp;</td>
<td width="6%" >\(x'')</td>
<td width="18%" >&nbsp;</td>
</tr>
<tr align="center" valign="center">
<td width="14%" >\(ax^2 + bx + c)</td>
<td width="20%" >signe de \(a)</td>
<td width="6%" >0</td>
<td width="19%"  colspan=3>signe de \(-a)</td>
<td width="6%" >0</td>
<td width="20%" >signe de \(a)</td>
</tr>
</table>
</center>

avec 
<ul>
<li>\(x_0=\frac{-b}{2a})</li>
<li>\(x'= min S) et \(x''= max S) avec 
<center>\(S=\{\frac{-b-\sqrt(\Delta)}{2a},\frac{-b+\sqrt(\Delta)}{2a}\}).</center></li>
</ul>
</div>

<h2>Exercice</h2>
\exercise{cmd=new&module=H5/algebra/oefsecdeg.fr&cmd=new&exo=Inequa_clic&qnum=1&qcmlevel=3&scoredelay=}{Signe d'un trinme}