document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=524860>Question 524860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two number differ by 2 the sum of their squares is 244 find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347942 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=347942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the numbers be x & y<BR>\n" );
document.write( "x-y=2<BR>\n" );
document.write( "x=(y+2)\r<BR>\n" );
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document.write( "x^2+y^2=244<BR>\n" );
document.write( "(y+2)^2+y^2=244\r<BR>\n" );
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document.write( "y^2+4y+4 +y^2=244<BR>\n" );
document.write( "2y^2+4y-240=0\r<BR>\n" );
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document.write( "/2<BR>\n" );
document.write( "y^2+2y-120=0<BR>\n" );
document.write( "y^2+12y-10y-120=0<BR>\n" );
document.write( "y(y+12)-10(y+12)=0<BR>\n" );
document.write( "(y-10)(y+12)=0\r<BR>\n" );
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document.write( "y= 10 OR -12\r<BR>\n" );
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document.write( "plug values of y in first equation<BR>\n" );
document.write( "x-y=2\r<BR>\n" );
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document.write( "when y=10 x=12  (12,10)\r<BR>\n" );
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document.write( "when y=-12<BR>\n" );
document.write( "x=-10<BR>\n" );
document.write( "(-10,-12)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );