document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=284619>Question 284619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the reciprocals of 2 consecutive even integers is 5/12. Find the integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #206479 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=206479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the numbers be x & x+2\r<BR>\n" );
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document.write( "1/x  +1/ x+2  =5/12\r<BR>\n" );
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document.write( "x+2+x=5X(x+2) /12\r<BR>\n" );
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document.write( "2x+2=5x^2+10x /12\r<BR>\n" );
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document.write( "24x+24 = 5x^2 +10x\r<BR>\n" );
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document.write( "5x^2-14x-24=0\r<BR>\n" );
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document.write( "5x^2-20x+6x-24=0\r<BR>\n" );
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document.write( "5x(x-4)+6(x-4)=0\r<BR>\n" );
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document.write( "(x-4)(5x+6)=0\r<BR>\n" );
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document.write( "x= 4\r<BR>\n" );
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document.write( "The numbers are 4 & 6 </SPAN>\n" );
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