document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=906554>Question 906554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two numbers have a difference of 16. Find the numbers if their sum and 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 #554558 by </B><A HREF=/tutors/aboutme.mpl?userid=ichigo449><B>ichigo449(30)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ichigo449><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=554558\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be one number and y another. Then x-y = 16. Substitute y in terms of x into sum: x+(x-16) or 2x-16. Do the same with the product: x(x-16) = x^2-16x. To use a generally applicable method take the derivative of the product: 2x-16, and set equal to zero: 2x-16 = 0 or x = 8. As quadratics have a single extreme point this is sufficient to continue. Now the two numbers are: 8 and -8. Good day. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );