document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=754101>Question 754101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of two numbers is 16 and the sum of their squares is 130. Find the two numbers.\r<BR>\n" );
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document.write( "I got -9 and -7, but one should be positive and I don't know what I have done wrong?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #458800 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=458800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference of two numbers is 16 and the sum of their squares is 130. Find the two numbers.<BR>\n" );
document.write( "let x=one of the two numbers<BR>\n" );
document.write( "let y=other number<BR>\n" );
document.write( "x-y=16<BR>\n" );
document.write( "x=y+16<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x^2+y^2=130<BR>\n" );
document.write( "(y+16)^2+y^2=130<BR>\n" );
document.write( "y^2+32y+256+y^2=130<BR>\n" );
document.write( "2y^2+32y+126=0<BR>\n" );
document.write( "y^2+16y+63=0<BR>\n" );
document.write( "(y+7)(y+9)=0<BR>\n" );
document.write( "y=-7<BR>\n" );
document.write( "x=y+16=9<BR>\n" );
document.write( "or<BR>\n" );
document.write( "y=-9<BR>\n" );
document.write( "x=y+16=7<BR>\n" );
document.write( "two sets of answers:<BR>\n" );
document.write( "-7 & 9 or -9 & 7<BR>\n" );
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