document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039987>Question 1039987</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x+y+z=12;xy+yz+zx=44;x^3+y^3+z^3=288. Find value of x,y and z. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654786 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=654786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One way to do this is to note that for positive integers, which the answer must contain, the largest must be 6, because any larger would have a negative result for the other two. 6^3 is 216, and that leaves 72.  That is the sum of two cubes, 64 (4^3) and 8 (2^3).<BR>\n" );
document.write( "6+4+2=12<BR>\n" );
document.write( "24+8+12=44.<BR>\n" );
document.write( "In number theory a number not in the form of 9k+/-4  can be written as the sum of 3 cubes.  <BR>\n" );
document.write( "That is as far as I can go. </SPAN>\n" );
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