document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=233324>Question 233324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the reciprocals of two consecutive integers is 5/6.  Find the two integers?\r<BR>\n" );
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document.write( "Smaller value\r<BR>\n" );
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document.write( "Larger value </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172242 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=172242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the reciprocals of two consecutive integers is 5/6. Find the two integers? <BR>\n" );
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document.write( "1/x + 1/(x+1) = 5/6<BR>\n" );
document.write( "x+1 + x = 5x(x+1)/6<BR>\n" );
document.write( "12x + 6 = 5x^2 + 5x<BR>\n" );
document.write( "5x^2 - 7x - 6 = 0<BR>\n" );
document.write( "(5x + 3)*(x - 2) = 0<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "--> 2 & 3<BR>\n" );
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