document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148245>Question 1148245</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two nonnegative numbers whose sum is 9 and so that the product of one<BR>\n" );
document.write( "number and the square of the other number is a maximum 10. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #769642 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13206)</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=769642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Not at all clear because of the poor English....<br><BR>\n" );
document.write( "\"...so that the product of ... is a maximum 10.\"<br><BR>\n" );
document.write( "Are you looking for ANY two number with a sum of 9 for which the product is LESS THAN OR EQUAL TO 10?  Or does the product have to be EQUAL to 10?<br><BR>\n" );
document.write( "And by \"numbers\" do you mean integers? or can they be any numbers?<br><BR>\n" );
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document.write( "Tell your lecturer that \"...is a maximum 10\" is not good English if what he means is that the product is anything less than 10.<br><BR>\n" );
document.write( "If \"numbers\" means integers, then there are only a small number of possibilities, and they are easy to check; there is clearly only one solution: 8 and 1.<br><BR>\n" );
document.write( "If the numbers are integers, the problem then seems of little value, since you don't learn anything from solving it.<br><BR>\n" );
document.write( "Since the problem apparently asks to find one solution, 8 and 1 is certainly the simplest answer (and the only answer, if the numbers are integers).<br><BR>\n" );
document.write( "A more useful problem -- that would teach the student something about problem solving -- would be to find the complete solution set of values for x that make the product x(9-x)^2 less than or equal to 10.<br><BR>\n" );
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