document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32397>Question 32397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for what values of x will (x,y) be a solution of the system of the following equations<BR>\n" );
document.write( "x2+y2 = 25 both intergers are squared<BR>\n" );
document.write( "x+y=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18911 by </B><A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><B>mukhopadhyay(490)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><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=18911\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y=1 = > y = 1-x;<BR>\n" );
document.write( "x^2+y^2 = 25 <BR>\n" );
document.write( "=> x^2 + (1-x)^2 = 25<BR>\n" );
document.write( "=> 2x^2 - 2x + 1 = 25<BR>\n" );
document.write( "=> 2x^2 - 2x - 24 = 0<BR>\n" );
document.write( "=> x^2 - x - 12 = 0<BR>\n" );
document.write( "=> (x-4)(x+3) = 0<BR>\n" );
document.write( "=> x = 4 or x = -3<BR>\n" );
document.write( "If x=4, y = 1-x = -3;<BR>\n" );
document.write( "If x=-3, y = 1-x = 4<BR>\n" );
document.write( "Answer: (x,y) belongs to {(4,-3), (-3,4)}\r<BR>\n" );
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document.write( " </SPAN>\n" );
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