document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242337>Question 242337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the areas of two squares is 85. the length of a side of the larger square minus the length of a side of the smaller square is 1. Find  the length of a side of each square </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177419 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=177419\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the side of the smaller be s and the larger s+1<BR>\n" );
document.write( "s^2+(s+1)^2=85<BR>\n" );
document.write( "s^2+s^2+2s+1=85<BR>\n" );
document.write( "2s^2+2s-84=0<BR>\n" );
document.write( "s^2+s-42=0<BR>\n" );
document.write( "(s+7)(s-6)=0<BR>\n" );
document.write( "s=6<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );