document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=49853>Question 49853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find the intersection points of the two equations x(squared)+y(squared)=5 and x-y=1.  Can you help me with it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33119 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=33119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to find the intersection points of the two equations x(squared)+y(squared)=5 and x-y=1.<BR>\n" );
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document.write( "x^2+y^2=5<BR>\n" );
document.write( "x=y+1\r<BR>\n" );
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document.write( "Substitute to get:<BR>\n" );
document.write( "(y+1)^2+y^2=5<BR>\n" );
document.write( "2y^2+2y-4=0<BR>\n" );
document.write( "y^2+y-2=0<BR>\n" );
document.write( "(y+2)(y-1)=0<BR>\n" );
document.write( "y=-2 or y=1\r<BR>\n" );
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document.write( "If y=-2 then x=-2+1= -1<BR>\n" );
document.write( "If y=1 then x=1+1=2\r<BR>\n" );
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document.write( "So, points of intersection are (-1,-2) and (2,1).\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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