document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=294645>Question 294645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a number and six times its reciprocal is 5. Find the number.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212440 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=212440\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the number be x\r<BR>\n" );
document.write( "\n" );
document.write( "reciprocal will be 1/x\r<BR>\n" );
document.write( "\n" );
document.write( "6 times reciprocal = 6/x\r<BR>\n" );
document.write( "\n" );
document.write( "x+ 6/x = 5\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+6 / x = 5\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+6 =5x\r<BR>\n" );
document.write( "\n" );
document.write( "x^2-5x+6=0\r<BR>\n" );
document.write( "\n" );
document.write( "x^2-3x-2x+6=0\r<BR>\n" );
document.write( "\n" );
document.write( "x(x-3)-2(x-3)=0\r<BR>\n" );
document.write( "\n" );
document.write( "(x-2)(x-3)=0\r<BR>\n" );
document.write( "\n" );
document.write( "x= 2 or 3\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );