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 #339399 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=339399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the difference of the reciprocals of two consecutive odd numbers is 1/84. find the numbers.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=odd number<BR>\n" );
document.write( "x+2 =consecutive odd number<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(1/x)-(1/(x+2))=1/84<BR>\n" );
document.write( "LCD:x(x+2)(84)<BR>\n" );
document.write( "84(x+2)-84x=x(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+14)(x-12)=0<BR>\n" );
document.write( "x=-14<BR>\n" );
document.write( "x+2=-12<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=12<BR>\n" );
document.write( "x+2=14<BR>\n" );
document.write( "..<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "-14 and -12<BR>\n" );
document.write( "or<BR>\n" );
document.write( "12and 14<BR>\n" );
document.write( "..<BR>\n" );
document.write( "note: answers came out even consecutive numbers. You might want to check with another tutor or teacher.  Maybe I am missing something. </SPAN>\n" );
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