document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274437>Question 274437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 20. What is their greatest possible product? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200276 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=200276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 20. What is their greatest possible product?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "x + y = 20<BR>\n" );
document.write( "Product = xy<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "P = x(20-x)<BR>\n" );
document.write( "P = -x^2 + 20x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "You have a quadratic with a = -1, b = 20<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Maximum occurs when x = -b/2a = -20/-2 = 10<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Greatest product = xy = 10*10 = 100<BR>\n" );
document.write( "====================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );