document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312269>Question 312269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a number and its reciprocal is 10/3. What is 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 #223265 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=223265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the number be x<BR>\n" );
document.write( "reciprocal = 1/x<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x+1/x = 10/3<BR>\n" );
document.write( "x^2+1 / x =10/3<BR>\n" );
document.write( "3(x^2+1)=10x<BR>\n" );
document.write( "3x^2+3 = 10x<BR>\n" );
document.write( "3x^2 -10x+3=0<BR>\n" );
document.write( "3x^2-9x-x+3=0<BR>\n" );
document.write( "3x(x-3)-1(x-3)=0<BR>\n" );
document.write( "(3x-1)(x-3)=0<BR>\n" );
document.write( "x=3 the number<BR>\n" );
document.write( "CHECK<BR>\n" );
document.write( "3 + 1/3 = 10/3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );