document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140364>Question 1140364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the value for x^2 + y^2  if  x + y=7 and x^3 + y^3 = 19 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #760866 by </B><A HREF=/tutors/aboutme.mpl?userid=dkppathak><B>dkppathak(439)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dkppathak><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=dkppathak><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=760866\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the value for x^2 + y^2 if x + y=7 and x^3 + y^3 = 19 <BR>\n" );
document.write( "solution<BR>\n" );
document.write( "(x+y)^3=x^3+y^3+3xy(X+Y)    by putting x^3 + y^3 = 19   <BR>\n" );
document.write( "7^3=19+3xy(7)<BR>\n" );
document.write( "343=19+21xy<BR>\n" );
document.write( "343-19=21xy<BR>\n" );
document.write( "324=21xy<BR>\n" );
document.write( "324/21=xy<BR>\n" );
document.write( "xy=108/7<BR>\n" );
document.write( "again <BR>\n" );
document.write( "(x+Y)^2=x^2+Y^2+2xy<BR>\n" );
document.write( "7^2=X^2+Y^2+2(108/7)<BR>\n" );
document.write( "49-216/7=X^2+Y^2<BR>\n" );
document.write( "343-216/7=X^2+Y^2<BR>\n" );
document.write( "127/7=X^2+Y^2<BR>\n" );
document.write( "18.14=x^2+Y^2 </SPAN>\n" );
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