document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=997035>Question 997035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a number and its reciprocal is 5 times the number. Find the positive solution. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615296 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=615296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of a number and its reciprocal is 5 times the number. <BR>\n" );
document.write( "Find the positive solution.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x + 1/x = 5x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "4x = 1/x<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "4x^2-1 = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "(2x-1)(2x+1) = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 1/2 or x = -1/2<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );