Miscelánea_4 de álgebra

<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><A HREF="id424.htm" TARGET="_top" TITLE="M i s c e l á n e a s"><U><B>Misceláneas</B></U></A><B> |</B></div> <bR> <div> </div> </td> </tr><tr> <td valign="top" rowspan="2" width=165 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B> <script 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HEIGHT= 20 WIDTH="713"><div> <B> <A NAME="enunciados_de_los_ejercicios"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A></B><B>Enunciados de los ejercicios</B></div> </tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 54 ><NOBR><div> <A HREF="#1" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="d35c32f0.gif" border=0 width="707" height="47" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </NOBR></tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 124 ><NOBR><div> <A HREF="#2" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="d3b48750.gif" border=0 width="584" height="117" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </NOBR></tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 168 ><NOBR><div> <A HREF="#3" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="d4734a10.gif" border=0 width="564" height="161" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </NOBR></tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 27 WIDTH="713"><div> <A HREF="#4" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="d4fd5140.gif" border=0 width="213" height="20" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 90 WIDTH="713"><div> <FONT SIZE="3" COLOR="#0099FF" FACE="Times New Roman" ><B>E</B></FONT>n los ejercicios <FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" >5</FONT> y <FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" >6</FONT>, resuelva las ecuaciones dadas:</div> <bR> <div> <A HREF="#5" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="d52b8150.gif" border=0 width="184" height="21" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#6" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="d568d180.gif" border=0 width="141" height="24" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 50 ><NOBR><div> <A HREF="#7" TITLE="Miscelánea_4 de álgebra"><U><B><IMG SRC="d684f2b0.gif" border=0 width="591" height="43" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> </NOBR></tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 90 ><NOBR><div> <A HREF="#8" TITLE="Miscelánea_4 de álgebra"><U><B><IMG SRC="d6d44530.gif" border=0 width="580" height="83" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> </NOBR></tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=2 HEIGHT= 76 ><NOBR><div> <A HREF="#9" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="d762f450.gif" border=0 width="303" height="69" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </NOBR></tD> <tD VALIGN=TOP WIDTH="336"><div> <A HREF="#11" TITLE="Miscelánea_4 de álgebra"><U><B><IMG SRC="ddd98450.gif" border=0 width="152" height="69" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 48 ><NOBR><div> <A HREF="#10" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="dab04290.gif" border=0 width="516" height="41" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </NOBR></tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 90 WIDTH="713"><div> <A HREF="#12" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="de58f530.gif" border=0 width="399" height="83" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 81 ><NOBR><div> <A HREF="#13" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="e2b594a0.gif" border=0 width="601" height="74" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </NOBR></tD> </tR> <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 450 ><NOBR><div> <A HREF="#14" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="1350342b0.gif" border=0 width="564" height="43" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#15" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="1353e5250.gif" border=0 width="485" height="37" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#16" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="1355f4150.gif" border=0 width="500" height="21" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#17" TITLE="Miscelánea_4 de álgebra"><U><IMG SRC="135724150.gif" border=0 width="548" height="21" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#18" TITLE="Miscelánea_4 de álgebra"><U><B><IMG SRC="400053280.gif" border=0 width="595" height="40" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <div> <A HREF="#19" TITLE="Miscelánea_4 de álgebra"><U><B><IMG SRC="41bedc2f0.gif" border=0 width="220" height="47" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <div> <A HREF="#20" TITLE="Miscelánea_4 de álgebra"><U><B><IMG SRC="41c4f9290.gif" border=0 width="249" height="41" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <div> <A HREF="#21" TITLE="Miscelánea_4 de álgebra"><U><B><IMG SRC="66aafc500.gif" border=0 width="252" height="80" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <div> <A HREF="#22" TITLE="Miscelánea_4 de álgebra"><U><B><IMG SRC="66ae40290.gif" border=0 width="576" height="41" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <div> <A HREF="#23" TITLE="Miscelánea_4 de álgebra"><U><B><IMG SRC="66b2c12b0.gif" border=0 width="705" height="43" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> </NOBR></tD> </tR> </TABLE></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div> <B>S o l u c i o n e s </B></div> <bR> <div>  <A NAME="1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="d3630250.gif" border=0 width="560" height="37" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="d3828d30.gif" border=0 width="552" height="211" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="2"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="d3c48750.gif" border=0 width="584" height="117" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="d407fa70.gif" border=0 width="639" height="167" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="1" CELLSPACING="1" WIDTH="636" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 276 ><NOBR><div> <IMG SRC="d43680d0.gif" border=0 width="360" height="269" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="d46fbf60.gif" border=0 width="251" height="246" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> (<FONT SIZE="3" COLOR="#00CC00" FACE="Times New Roman" >fig.1</FONT>)</div> </NOBR></tD> </tR> </TABLE></div> <div> Como se puede observar en la gráfica, para recorridos mayores a 200 km es más favorable viajar en la agencia A.</div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="3"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="d4834a10.gif" border=0 width="564" height="161" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="d4b57e90.gif" border=0 width="599" height="489" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="627" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 335 ><NOBR><div> <IMG SRC="d4ef9480.gif" border=0 width="249" height="328" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> <tD VALIGN=TOP><NOBR><div> <IMG SRC="d4d26f60.gif" border=0 width="294" height="246" ALT="Imagen de mapa de bits" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> </NOBR></tD> </tR> </TABLE></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="d50d5140.gif" border=0 width="213" height="20" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="d5161a90.gif" border=0 width="609" height="425" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="5"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="d53b8150.gif" border=0 width="184" height="21" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="d54cfbb0.gif" border=0 width="207" height="187" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="6"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="d558d180.gif" border=0 width="141" height="24" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="d573b980.gif" border=0 width="571" height="152" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>   <A NAME="7"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="d694f2b0.gif" border=0 width="591" height="43" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="d6b54840.gif" border=0 width="596" height="388" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="8"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="d6e30530.gif" border=0 width="560" height="83" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="d757c430.gif" border=0 width="636" height="835" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="9"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="d772f450.gif" border=0 width="303" height="69" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="d816dd80.gif" border=0 width="621" height="1240" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="10"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="dac04290.gif" border=0 width="516" height="41" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="db780180.gif" border=0 width="640" height="792" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="11"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="dde98450.gif" border=0 width="152" height="69" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="ddf73b50.gif" border=0 width="627" height="437" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="12"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="de868d00.gif" border=0 width="616" height="464" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="13"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="e2d824a0.gif" border=0 width="642" height="74" ALT="Documento Microsoft Office Word" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div> <IMG SRC="e2e3cb70.gif" border=0 width="572" height="439" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="14"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="1351b3b50.gif" border=0 width="691" height="181" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="15"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="135470130.gif" border=0 width="624" height="275" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="16"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="135661080.gif" border=0 width="609" height="264" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="17"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A><IMG SRC="135824cd0.gif" border=0 width="548" height="205" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="18"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>18</div> <div> <IMG SRC="3fff53140.gif" border=0 width="595" height="276" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div> 1 <A NAME="19"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>9</div> <div> <IMG SRC="41bfc7180.gif" border=0 width="455" height="280" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="20"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>20</div> <div> <IMG SRC="41c5f9cf0.gif" border=0 width="505" height="207" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <div>  <A NAME="21"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>21</div> <div> <IMG SRC="66ab4c7b0.gif" border=0 width="844" height="379" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="#enunciados_de_los_ejercicios" TITLE="Miscelánea_4 de álgebra"><U>Arriba</U></A></div> <bR> <div>  <A NAME="22"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>22</div> <div> <IMG SRC="66ad74fb0.gif" border=0 width="884" height="251" 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