document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161661>Question 161661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> FIND THE TWO NUMBERS, X AND Y WHOSE DIFFERENCE IS 26 WHICH MINIMIZE XY. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119134 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=119134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FIND THE TWO NUMBERS, X AND Y WHOSE DIFFERENCE IS 26 WHICH MINIMIZE XY.<BR>\n" );
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document.write( "x-y = 26<BR>\n" );
document.write( "P = xy  (product = xy)<BR>\n" );
document.write( "sub for y<BR>\n" );
document.write( "y = x-26<BR>\n" );
document.write( "P = x*(x-26)<BR>\n" );
document.write( "P = x^2 - 26x<BR>\n" );
document.write( "Set the 1st derivative = 0<BR>\n" );
document.write( "2x - 26 = 0<BR>\n" );
document.write( "x = 13<BR>\n" );
document.write( "y = -13<BR>\n" );
document.write( "Prod = -169<BR>\n" );
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document.write( "Try -12 and 14:<BR>\n" );
document.write( "Prod = -168<BR>\n" );
document.write( "Try -14 and 12:<BR>\n" );
document.write( "Prod = -168<BR>\n" );
document.write( "Looks good. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );