document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180203>Question 1180203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the squares of two consecutive numbers is 61.What are those numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809822 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809822\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+(x+1)^2=61<BR>\n" );
document.write( "x^2+x^2+2x+1=61<BR>\n" );
document.write( "so 2x^2+2x-60=0<BR>\n" );
document.write( "so x^2+x-30=0<BR>\n" );
document.write( "(x+6)(x-5)=0<BR>\n" );
document.write( "x=-6; and -6 and -5 have squares who add to 61.<BR>\n" );
document.write( "x=5, and 5 and 6 do the same\r<BR>\n" );
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document.write( "Those are the two pairs of numbers. </SPAN>\n" );
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