document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860872>Question 860872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two positive integers that differ by 8 and whose reciprocal differ by 1/6. \r<BR>\n" );
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document.write( "I would really appreciate it if yall could help me with this question!!! Thank you soo much for taking your time to help me too:) god bless<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518677 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=518677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find two positive integers that differ by 8 and whose reciprocal differ by 1/6. <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "x - y = 8<BR>\n" );
document.write( "(1/x) - (1/y) = 1/6<BR>\n" );
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document.write( "Modify:<BR>\n" );
document.write( "x = y + 8<BR>\n" );
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document.write( "Substitute:<BR>\n" );
document.write( "(1/(y+8)) - 1/y = 1/6<BR>\n" );
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document.write( "Multiply thru by 6y(y+8)<BR>\n" );
document.write( "6y - 6(y+8) = y(y+8)<BR>\n" );
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document.write( "y^2 + 8y + 48 = 0<BR>\n" );
document.write( "This quadratic has no integer roots.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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