document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191565>Question 1191565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two nonnegative numbers whose sum is 12 such that their <BR>\n" );
document.write( "product is an absolute maximum. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823363 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=823363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find two nonnegative numbers whose sum is 12 such that their product is an absolute maximum.<BR>\n" );
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document.write( "6 and 6.<BR>\n" );
document.write( "It's always equal numbers<BR>\n" );
document.write( "In this case, the product is 36.<BR>\n" );
document.write( "x*x = 36 is the max and x+x = 12<BR>\n" );
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document.write( "Any other combination is less than 36<BR>\n" );
document.write( "(x-1)*(x+1) = x^2 - 1 = 35<BR>\n" );
document.write( "(x-2)*(x+2) = x^2 - 4 = 32<BR>\n" );
document.write( "(x-k)*(x+k) = x^2 - k^2 = 36 - k^2 </SPAN>\n" );
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