document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=686236>Question 686236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use an analytical method to find the solution set of the rational equation:<BR>\n" );
document.write( "x^-1+1=12x^-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424723 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=424723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the solution set of the rational equation:<BR>\n" );
document.write( "x^-1+1=12x^-2<BR>\n" );
document.write( "let u=x^-1<BR>\n" );
document.write( "u^2=x^-2<BR>\n" );
document.write( "u+1=12u^2<BR>\n" );
document.write( "12u^2-u-1=0<BR>\n" );
document.write( "(4u+1)(3u-1)=0<BR>\n" );
document.write( "4u+1=0<BR>\n" );
document.write( "4u=-1<BR>\n" );
document.write( "u=-1/4<BR>\n" );
document.write( "x^-1=-1/4<BR>\n" );
document.write( "1/x=-1/4<BR>\n" );
document.write( "x=-4<BR>\n" );
document.write( "or <BR>\n" );
document.write( "3u-1=0<BR>\n" );
document.write( "3u=1<BR>\n" );
document.write( "u=1/3<BR>\n" );
document.write( "x^-1=1/3<BR>\n" );
document.write( "1/x=1/3<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "solutions: <BR>\n" );
document.write( "x=-4<BR>\n" );
document.write( "x=3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );