document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095268>Question 1095268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how much xsquare -y square ? if x+y=66 xy=9<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 #854193 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53742)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "How much x square -y square ? if x+y=66 xy=9<BR>\n" );
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document.write( "Tutor @greenestamps provided the answer  &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=792sqrt%2830%29 ALIGN=MIDDLE  ALT=\"792sqrt%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "This answer is correct, &nbsp;but incomplete.\r<BR>\n" );
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document.write( "This problem has a symmetry &nbsp;(x.y) <---> (y,x).\r<BR>\n" );
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document.write( "In other words, values x and y can be rearranged.\r<BR>\n" );
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document.write( "It means that together with the answer &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=792sqrt%2830%29 ALIGN=MIDDLE  ALT=\"792sqrt%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&nbsp;another answer &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-792sqrt%2830%29 ALIGN=MIDDLE  ALT=\"-792sqrt%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;is valid and is possible, &nbsp;too.\r<BR>\n" );
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document.write( "So, the complete answer to the problem is THIS:\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;- under given conditions, &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;may have two different values.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;One possible value is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=792sqrt%2830%29 ALIGN=MIDDLE  ALT=\"792sqrt%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; &nbsp;another possible value is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-792sqrt%2830%29 ALIGN=MIDDLE  ALT=\"-792sqrt%2830%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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