document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=928785>Question 928785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two numbers differ by 10. the product of the larger number and twice the smaller is a minimum. what are the numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563890 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563890\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two numbers differ by 10.<BR>\n" );
document.write( "(x+10)2x = 2x^2 + 20x<BR>\n" );
document.write( "f(x) = 2x^2 + 20x<BR>\n" );
document.write( "f(x) = 2(x + 5)^2 - 50<BR>\n" );
document.write( "minimum:  x = -5<BR>\n" );
document.write( ".........<BR>\n" );
document.write( "Numbers are -5, 5 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2B10 ALIGN=MIDDLE  ALT=\"-5%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );