document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=450191>Question 450191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i dont know what category this goes in but:<BR>\n" );
document.write( "the sum of twice a number and three times its square is 261. Find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309706 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=309706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of twice a number and three times its square is 261. Find the number.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let n = the number<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2n + 3n^2 = 261<BR>\n" );
document.write( "3n^2 + 2n = 261<BR>\n" );
document.write( "3n^2 + 2n - 261 = 0<BR>\n" );
document.write( "factoring the left:<BR>\n" );
document.write( "(3n+29)(n-9) = 0<BR>\n" );
document.write( "n = {-29/3, 9}<BR>\n" );
document.write( "answer: 9<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );