document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=258748>Question 258748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between two positive numbers is 4&#8730;3. The product of the two<BR>\n" );
document.write( "numbers is 8. What is the absolute value of the difference of their reciprocals?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #190472 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=190472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-y=4sqrt(3)<BR>\n" );
document.write( "xy=8<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y=8/x<BR>\n" );
document.write( "x-8/x=4sqrt(3)<BR>\n" );
document.write( "x^2-8=4xsqrt(3)<BR>\n" );
document.write( "x^2-4xsqrt(3)-8=0<BR>\n" );
document.write( "x^2-4xsqrt(3)+12=8+12 complete the square.<BR>\n" );
document.write( "|x-2sqrt(3)|=+-2sqrt(5) Take sqrt of each side.<BR>\n" );
document.write( "x=2sqrt(3)+-2sqrt(5)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );