document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=616171>Question 616171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One divded by the sum of a number and 4 plus one divided by the difference of a number and 4 is the same as the reciprocal of the difference of a number squared and 16. Find 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 #387525 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=387525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One divded by the sum of a number and 4 plus one divided by the difference of a number and 4 is the same as the reciprocal of the difference of a number squared and 16. Find the number.<BR>\n" );
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document.write( "1/(x+4) + 1/(x-4) = 1/(x^2-16)<BR>\n" );
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document.write( "Multiply thru by x^2-16 to get:<BR>\n" );
document.write( "(x-4) + (x+4) = 1<BR>\n" );
document.write( "2x = 1<BR>\n" );
document.write( "x = 1/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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