document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186502>Question 1186502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the sum of two numbers is 30. Find their maximum product. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817433 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Given the sum of two numbers, the product of the two numbers is greatest if the two numbers are the same.<br><BR>\n" );
document.write( "Here is one way to show that using formal algebra.<br><BR>\n" );
document.write( "The sum is 30, so let the two numbers be 15+x and 15-x; then their product is 225-x^2.<br><BR>\n" );
document.write( "But x^2 is always 0 or positive, so the maximum value of 225-x^2 is when x is 0; that make the numbers 15+x and 15-x equal.<br><BR>\n" );
document.write( "ANSWER: 15*15=225<br><BR>\n" );
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