document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251310>Question 251310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A polygon has 35 diagonals. How many sides does it have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183035 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=183035\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let d=number of diagonals and n=number of sides<BR>\n" );
document.write( "(n(n-3))/2=d<BR>\n" );
document.write( "(n^2-3n)/2=35<BR>\n" );
document.write( ".5n^2-1.5n-35=0<BR>\n" );
document.write( "n^2-3n-70=0<BR>\n" );
document.write( "(n-10)(n+7)=0<BR>\n" );
document.write( "n=10<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );