document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978041>Question 978041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to solve x+y=  3 and xy=  1, then x²+y²= (?) and x^5 + y^5 = (?) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599531 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=599531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Most important goal is solve for x and y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%283-x%29=1 ALIGN=MIDDLE  ALT=\"x%283-x%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2B3x-1=0 ALIGN=MIDDLE  ALT=\"-x%5E2%2B3x-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x%2B1=0 ALIGN=MIDDLE  ALT=\"x%5E2-3x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%283-sqrt%285%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%283-sqrt%285%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3-%283-sqrt%285%29%29%2F2=6%2F2-3%2F2%2Bsqrt%285%29%2F2=highlight%28y=3%2F2%2Bsqrt%285%29%2F2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is only one of the two x y pairs.\r<BR>\n" );
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document.write( "Evaluating the two requested expressions is a bunch of arithmetic.<BR>\n" );
document.write( "(You might want to use Binomial Theorem.) </SPAN>\n" );
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