document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=522992>Question 522992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if x^2 + y^2 = 10 and (x - y)^2 = 2 find the numerical value of xy.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347140 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=347140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 + y^2 = 10 -------------(1)<BR>\n" );
document.write( "(x - y)^2 = 2 <BR>\n" );
document.write( "x^2+y^2-2xy =2---------------(2)\r<BR>\n" );
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document.write( "(1)-(2)<BR>\n" );
document.write( "2xy=10-2<BR>\n" );
document.write( "2xy=8<BR>\n" );
document.write( "xy=4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " xy.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );