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<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=3 height=24 BGCOLOR="#003333" TEXT="#F7F7FF"> <div> <FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>M</B></FONT><FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>atemáticas de la U</B></FONT><B> (MatU)  | </B><A HREF="http://www.jcbmat.com/" TARGET="_top" TITLE="http://www.jcbmat.com/"><U><B>Home</B></U></A><B> | </B><A HREF="index.htm" TARGET="_top" TITLE="Álgebra de Baldor"><U><B>Algebra de Baldor</B></U></A><B> |  </B><A HREF="id1076.htm" TARGET="_top" TITLE="Índice temático"><U><B>Índice temático</B></U></A><B>  |  </B><A HREF="id1073.htm" TARGET="_top" TITLE="Lista"><U><B>Lista de Ejercicios</B></U></A><B> |</B></div> </td> </tr><tr> <td valign="top" rowspan="2" width=165 BGCOLOR="#FFFFFF" TEXT="#080000"> <bR> <div> <B> <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:160px;height:600px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="3073775660"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </B></div> </td> <td valign="top" height=432 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>270</B></div> <div> <B>Ecuaciones literales de segundo grado</B></div> <bR> <div>  <script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:970px;height:250px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="8553279920"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div> <TABLE BORDER="2" CELLPADDING="2" CELLSPACING="1" WIDTH="758" BORDERCOLORLIGHT="#00FFFF" BORDERCOLORDARK="#0000FF" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 185 WIDTH="746"><div> <B>P r o c e d i m i e n t o</B></div> <div> <B>1.</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" >  Se lleva la ecuación a la forma</FONT></div> <div>  <IMG SRC="645f69140.gif" border=0 width="105" height="20" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <FONT SIZE="3" COLOR="#FF9900" FACE="Times New Roman" ><B>2.</B></FONT>  Se factoriza el miembro izquierdo; y, como el producto de dos factores da cero cuando uno cualquiera de ellos es cero, se iguala cada uno de los factores a 0 y se despeja para <I>x. </I></div> <div> <B>3.</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" >  También se pude aplicar la fórmula general: </FONT></div> <div> <IMG SRC="6460842d0.gif" border=0 width="132" height="45" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> previamente identificando los coeficientes <I>a</I>, <I>b</I> y <I>c</I>.</div> </tD> </tR> </TABLE></div> <div> <TABLE BORDER="2" CELLPADDING="2" CELLSPACING="1" WIDTH="464" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 37 ><NOBR><div> <B>I</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >mágenes sobre la solución de los ejercicios:</FONT></div> </NOBR></tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>1</B></FONT>:</div> <div> <A HREF="#1" TITLE="270"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>2</B></FONT>:</div> <div> <A HREF="#2" TITLE="270"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>3</B></FONT>:</div> <div> <A HREF="#3" TITLE="270"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>4</B></FONT>:</div> <div> <A HREF="#4" TITLE="270"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>5</B></FONT>:</div> <div> <A HREF="#5" TITLE="270"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>6</B></FONT>:</div> <div> <A HREF="#6" TITLE="270"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>7</B></FONT>:</div> <div> <A HREF="#7" TITLE="270"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>10</B></FONT>:</div> <div> <A HREF="http://youtu.be/zGgKKR_9zBQ" TARGET="_top" TITLE="http://youtu.be/zGgKKR_9zBQ"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>11</B></FONT>:</div> <div> <A HREF="http://youtu.be/htyrTzTkKXk" TARGET="_top" TITLE="http://youtu.be/htyrTzTkKXk"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>12</B></FONT>:</div> <div> <A HREF="http://youtu.be/NGegVCiS0ys" TARGET="_top" TITLE="http://youtu.be/NGegVCiS0ys"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>13</B></FONT>:</div> <div> <A HREF="http://youtu.be/Sd1Tvo3uBfo" TARGET="_top" TITLE="http://youtu.be/Sd1Tvo3uBfo"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>14</B></FONT>:</div> <div> <A HREF="#14" TITLE="270"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>15</B></FONT>:</div> <div> <A HREF="#15" TITLE="270"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>16</B></FONT>:</div> <div> <A HREF="http://youtu.be/izfXcOL1tSc" TARGET="_top" TITLE="http://youtu.be/izfXcOL1tSc"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>17</B></FONT>:</div> <div> <A HREF="http://youtu.be/i0A91QUu5x0" TARGET="_top" TITLE="http://youtu.be/i0A91QUu5x0"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>18</B></FONT>:</div> <div> <A HREF="http://youtu.be/JMoaP0_x4uo" TARGET="_top" TITLE="http://youtu.be/JMoaP0_x4uo"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>19</B></FONT>:</div> <div> <A HREF="#19" TITLE="270"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="81" ALIGN="bottom" WIDTH="146" HSPACE="0" VSPACE="0"></tD> </tR> </TABLE></div> <bR> <div> <B>R</B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" >esolver las ecuaciones:</FONT></div> <div>  <A NAME="1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1</div> <div> <IMG SRC="656fbfab0.gif" border=0 width="447" height="171" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="2"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>2</div> <div> <IMG SRC="657050150.gif" border=0 width="336" height="277" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="3"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>3</div> <div> <IMG SRC="646147fc0.gif" border=0 width="327" height="252" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>4</div> <div> <IMG SRC="6571858b0.gif" border=0 width="645" height="395" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="5"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>5</div> <div> <IMG SRC="657247db0.gif" border=0 width="327" height="219" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="6"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>6</div> <div> <B><IMG SRC="646251000.gif" border=0 width="337" height="256" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <bR> <div>  <A NAME="7"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>7</div> <div> <B><IMG SRC="64638c880.gif" border=0 width="652" height="392" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <bR> <div>  <A NAME="14"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>14</div> <div> <B><IMG SRC="65734b710.gif" border=0 width="587" height="369" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <bR> <div>  <A NAME="15"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>15</div> <div> <B><IMG SRC="646831200.gif" border=0 width="561" height="288" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <div>  <A NAME="19"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>19</div> <div> <B><IMG SRC="6482a1f00.gif" border=0 width="673" height="496" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></div> <bR> <bR> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="http://twitter.com/Calculo21" TARGET="_top" TITLE="http://twitter.com/Calculo21"><U><IMG SRC="2fc828280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="http://www.facebook.com/juan.beltran.58511" TARGET="_top" TITLE="http://www.facebook.com/juan.beltran.585"><U><IMG SRC="76fa28280.gif" 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