document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=806048>Question 806048</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve algebraically<BR>\n" );
document.write( "x^2+y^2=17 <BR>\n" );
document.write( "x+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 #485631 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=485631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+y^2=17 <BR>\n" );
document.write( "x+y=5\r<BR>\n" );
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document.write( "x^2+y^2+2xy-2xy  =17 \r<BR>\n" );
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document.write( "(x+y)^2-2xy =17\r<BR>\n" );
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document.write( "5^2-2xy=17<BR>\n" );
document.write( "2xy=25-17<BR>\n" );
document.write( "2xy=8<BR>\n" );
document.write( "xy=4<BR>\n" );
document.write( "y=4/x\r<BR>\n" );
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document.write( "x+(4/x)=5\r<BR>\n" );
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document.write( "x^2+4=5x<BR>\n" );
document.write( "x^2-5x+4=0<BR>\n" );
document.write( "x^2-4x-x+4=0<BR>\n" );
document.write( "x(x-4)-1(x-4)=0<BR>\n" );
document.write( "(x-4)(x-1)=0<BR>\n" );
document.write( "x=4 OR 1\r<BR>\n" );
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document.write( "plug x to get y\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );