document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102444>Question 102444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a number and its reciprocal is 5/2.  What is the number and reciprocal? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74441 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=74441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number be \"x<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x + 1/x =5/2<BR>\n" );
document.write( "Multiply thru by 2x to get:<BR>\n" );
document.write( "2x^2+2 = 5x<BR>\n" );
document.write( "2x^2-5x+2 = 0<BR>\n" );
document.write( "2x^2-4x-x+2=0<BR>\n" );
document.write( "2x(x-2)-(x-2)=0<BR>\n" );
document.write( "(x-2)(2x-1)=0<BR>\n" );
document.write( "x = 2 or x = 1/2<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );