document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=543931>Question 543931</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the largest number you can obtain by multiplying two real numbers whose sum is 9?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354979 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=354979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the largest number you can obtain by multiplying two real numbers whose sum is 9? <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "x + y = 9<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Product = xy = x(9-x)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "P = -x^2+9x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Max occurs when x = -b/(2a) = -9/(2*-1) = 4.5<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"y\":<BR>\n" );
document.write( "y = 9-x = 4.5<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Maximum product = 4.5^2 = 20.25<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );