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

<table class="wimscenter wimsborder" style="background-color:#E8E4D8;width:50%">
   <tr>
     <th>\(x)</th>
     <td> </td>
 <th>\(\alpha)</th>
 <td> </td>
 <th>\(\beta)</th>
 <td> </td>
   </tr>
   <tr>
     <th>\(a x^2 + b x + c)</th>
     <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 présente le signe de \(a x^2 + b x + c = 0) selon la valeur
de \(x):

<table class="wimscenter wimsborder" style="background-color:#E8E4D8;width:80%">
<tr>
<th style="width:14%" rowspan="2">\(Delta<0)</td>
<th style="width:14%">\(x)</td>
<td style="width:71%" colspan="7">&nbsp;</td>
</tr>
<tr>
<th>\(a x^2 + b x + c)</th>
<td colspan="7">signe de \(a)</td>
</tr>
<tr>
<th rowspan="2">\(Delta = 0)</th>
<td>\(x)</td>
<td colspan="3">&nbsp;</td>
<td>\(x_0)</td>
<td colspan="3">&nbsp;</td>
</tr>
<tr>
<th>\(a x^2 + b x + c)</th>
<td colspan="3">signe de \(a)</td>
<td> 0</td>
<td colspan="3">signe de \(a)</td>
</tr>
<tr>
<th rowspan="2">\(Delta>0)</th>
<td>\(x)</td>
<td>&nbsp;</td>
<td>\(x')</td>
<td colspan="3">&nbsp;</td>
<td>\(x'')</td>
<td>&nbsp;</td>
</tr>
<tr>
<th>\(a x^2 + b x + c)</th>
<td style="width:20%">signe de \(a)</td>
<td style="width:6%">0</td>
<td colspan="3">signe de \(-a)</td>
<td>0</td>
<td>signe de \(a)</td>
</tr>
</table>
avec
<ul>
<li>\(x_0=\frac{-b}{2a})</li>
<li>\(x'= min S) et \(x''= max S) avec
<div class="wimscenter">\(S=\{\frac{-b-\sqrt{\Delta}}{2a},\frac{-b+\sqrt{\Delta}}{2a}\}).</div></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 trinôme}
