document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102679>Question 102679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between a number and it's reciprocal is 7/12. Find the number.\r<BR>\n" );
document.write( "\n" );
document.write( "Please Help. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74701 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=74701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference between a number and it's reciprocal is 7/12. Find the number.<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "EQUATION<BR>\n" );
document.write( "x - 1/x = 7/12<BR>\n" );
document.write( "Multiply thru by 12x<BR>\n" );
document.write( "12x^2 -12 = 7x<BR>\n" );
document.write( "12x^2 -7x -12 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "x = [7 +- sqrt(625)]/24\r<BR>\n" );
document.write( "\n" );
document.write( "x = [7 +- 25]/24\r<BR>\n" );
document.write( "\n" );
document.write( "x = 32/24 = 4/3 or x = -3/4\r<BR>\n" );
document.write( "\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" );