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<p align="center"><span style="background-color: #FFFF00"><b>
    <font face="Verdana" size="6">Q</font><font face="Verdana" size="5">uadratic</font></b></span><b><font size="4">
    </font><font color="#003030" size="5" face="Verdana">&nbsp;</font><font color="#009090" size="6" face="Verdana">E</font><font color="#009090" size="5" face="Verdana">quation<font size="5" face="Verdana"> </font>
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<p class="MsoNormal"><i><b><font face="Verdana" color="#FF00FF" size="4">Questions
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<p class="MsoNormal"><font face="Verdana">
  <ol>    <LI>If <i><b>p</i></b> and <i><b>q</i></b> are roots 
of the quadratic equation <p>
     &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2x<sup>2</sup> -3x - 2 = 0.<p>
     &nbsp;&nbsp;form a quadratic equation with root <i><b>p</i></b> / <i><b>q</i></b> and <i><b>q</i></b> / <i><b>p</i></b>
    <p> 
</LI>
     <li>
     <P>If 
        <i><b>p</i></b> and <i><b>q/2</i></b> are roots of the equation x<sup>2</sup> + kx + m  = 0;
     
      &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;show that 2k<sup>2</sup> = 9 m.<P>
     </li>
       <li>Given that 
        the quadratic function 2x<sup>2</sup> - kx + k + 1  = 0 has &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;roots of <i><b>p</i></b> and <i><b>q</i></b></span></p>
          &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  and If  4{(<i><b>p</i><sup>2</sup></b>) +(<i><b>q</i><sup>2</sup></b>) } = 9;</b> Find the possible values of k
     <p>
           &nbsp;&nbsp;&nbsp;&nbsp; 
       </li>
      
       <li>
     
      <p class="MsoNormal"><font face="Verdana">GIven that the equation x<sup>2</sup> + (<b><i>p</b></i> + 1 )x +<b><i>p</b></i>  = 0 has
        <b><i>two real roots</b></i> with a difference of 5 ; Find:-</span></p>
        <p class="MsoNormal" style="text-indent: -.25in; margin-left: 1.0in">
        <span style="font-size:11.0pt">a)<span style="font:7.0pt &quot;verdana&quot;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
        </span>the value of both roots. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
        &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span></p>
        <p class="MsoNormal" style="text-indent: -.25in; margin-left: 1.0in">
        <span style="font-size:11.0pt">b)<span style="font:7.0pt &quot;verdana&quot;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
        </span>the value of p<p> 


<li>
     
      <p class="MsoNormal"><font face="Verdana">GIven that <i>p and q</i> are two roots of the 
<p> equation
 x<sup>2</sup> = - ( 3x + 4 )  :-</span></p>
        <p class="MsoNormal" style="text-indent: -.25in; margin-left: 1.0in">
        <span style="font-size:11.0pt">a)<span style="font:7.0pt &quot;verdana&quot;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
        </span> Find  1/p<sup>2</sup> +  1/q<sup>2</sup> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
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        <p class="MsoNormal" style="text-indent: -.25in; margin-left: 1.0in">
        <span style="font-size:11.0pt">b)<span style="font:7.0pt &quot;verdana&quot;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
        </span>Show that 4p<sup>4</sup> = -16-17p<sup>2</sup></span></ol>
		<p class="MsoNormal" style="text-indent: -.25in; margin-left: 1.0in">&nbsp;</p>
		<p class="MsoNormal" style="text-indent: -.25in; margin-left: 1.0in"><b>
		<font color="#FF0000" size="4"><i><sup>..More Questions</sup></i></font></b></p>
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