document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=503739>Question 503739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the difference of the reciprocals of two consecutive odd numbers is 1/84. find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339394 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=339394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/x - 1/(x+2) = 1/84<BR>\n" );
document.write( "84(x+2)-84x=x(x+2) multiply each side by 84x(x+2)<BR>\n" );
document.write( "84x+168-84x=x^2+2x<BR>\n" );
document.write( "x^2+2x-168=0<BR>\n" );
document.write( "(x-12)(x+14)=0<BR>\n" );
document.write( "x=12, x=-14<BR>\n" );
document.write( "The numbers are 12 and 14 or -14 and -12.<BR>\n" );
document.write( "Both sets of numbers are even.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );