document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=742905>Question 742905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all numbers whose sum when added to its multiplicative inverse is 13/7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452681 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=452681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all numbers whose sum when added to its multiplicative inverse is 13/7<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve:<BR>\n" );
document.write( "x + 1/x = 13/7<BR>\n" );
document.write( "7x^2 + 7 = 13x<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "7x^2 -13x + 7 = 0<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "x = [13 +- sqrt(169-4*7*7)]/14<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = [13 +- sqrt(-27)]/14<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x is not a Real Number.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );