document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=906792>Question 906792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of two numbers is 2.If the sum of their sqaures is 20,What are 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 #550101 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=550101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a - b = 2<BR>\n" );
document.write( "a^2+b^2=20<BR>\n" );
document.write( "a=b+2<BR>\n" );
document.write( "(b+2)^2+b^2=20<BR>\n" );
document.write( "b^2+4b+4+b^2=20<BR>\n" );
document.write( "2*b^2+4b+4=20<BR>\n" );
document.write( "2*b^2+4b-16=0<BR>\n" );
document.write( "b^2+2b-8=0<BR>\n" );
document.write( "(b+4)*(b-2)=0<BR>\n" );
document.write( "b=4 or b=-2<BR>\n" );
document.write( "so we have two sets of answers<BR>\n" );
document.write( "4 and 2<BR>\n" );
document.write( "and<BR>\n" );
document.write( "-2 and -4<BR>\n" );
document.write( "I liked the other tutor's logical approach but it left out the negative numbers.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );