document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167029>Question 167029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is 2 larger than another number. The sum of their squares is 100. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123080 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=123080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> LET X & X+2 BE THE 2 NUMBERS.<BR>\n" );
document.write( "x^2+(x+2)^2=100<BR>\n" );
document.write( "x^2+x^2+4x+4-100=0<BR>\n" );
document.write( "2x^2+4x-96=0<BR>\n" );
document.write( "2(x^2+2x-48)=0<BR>\n" );
document.write( "2(x+8)(x-6)=0<BR>\n" );
document.write( "x-6=0<BR>\n" );
document.write( "x=6 answer for the smaller number.<BR>\n" );
document.write( "6+2=8 for the larger number. <BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "6^2+8^2=100<BR>\n" );
document.write( "36+64=100<BR>\n" );
document.write( "100=100 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );