document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439493>Question 439493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> five divided by the sum of a number and 4, minus the quotient of 3 and the difference of the number and 4 is equal to 6 times the reciprocal of the difference of the number squared and 16. What is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303735 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=303735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> five divided by the sum of a number and 4, minus the quotient of 3 and the difference of the number and 4 is equal to 6 times the reciprocal of the difference of the number squared and 16. What is the number?<BR>\n" );
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document.write( "5/(x+4) - 3/(x-4) = 6/(x^2-16)<BR>\n" );
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document.write( "Multiply thru by x^2-16 to get:<BR>\n" );
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document.write( "5(x-4) - 3(x+4) = 6<BR>\n" );
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document.write( "2x -32 = 6<BR>\n" );
document.write( "2x = 38<BR>\n" );
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document.write( "x = 19<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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