document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912343>Question 912343</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 29.The Sum of the square of two numbers is 80 and the square of their difference is 36. The product of two numbers is\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553889 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=553889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two numbers x & y<BR>\n" );
document.write( "Write an equation for each statement<BR>\n" );
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document.write( "\"The Sum of the square of two numbers is 80\"<BR>\n" );
document.write( "x^2 + y^2 = 80<BR>\n" );
document.write( "\" and the square of their difference is 36.\"<BR>\n" );
document.write( "(x - y)^2 = 36<BR>\n" );
document.write( "Foil (x-y)(x-y)<BR>\n" );
document.write( "x^2 - 2xy + y^2 = 36<BR>\n" );
document.write( "Use elimination, subtract from the 1st equation<BR>\n" );
document.write( "x^2 + 0xy + y^2 = 80<BR>\n" );
document.write( "x^2 - 2xy + y^2 = 36<BR>\n" );
document.write( "------------------------Subtraction eliminates, both x^2 and y^2<BR>\n" );
document.write( "2xy = 44<BR>\n" );
document.write( "Divide both sides by 2<BR>\n" );
document.write( "xy = 22<BR>\n" );
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document.write( " The product of two numbers is: 22  </SPAN>\n" );
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