document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=994714>Question 994714</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two numbers have a difference of 24. find the numbers if the result of adding their sum to their product is a minimum </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #613738 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=613738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two numbers have a difference of 24. find the numbers if the result of adding their sum to their product is a minimum<BR>\n" );
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document.write( "f(x) = x(24+x) + x+24 = x^2 + 25x + 24<BR>\n" );
document.write( "f'(x) = 2x + 25 = 0<BR>\n" );
document.write( "--> Minimum at x = -12.5<BR>\n" );
document.write( "--> -12.5 & 11.5<BR>\n" );
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