document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085210>Question 1085210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a number and its square is 4 more than twice the number. 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 #699266 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+x^2 = 2x+4<BR>\n" );
document.write( "Subtract 2x+4 from both sides:<BR>\n" );
document.write( "x^2-x-4 = 0<BR>\n" );
document.write( "x^2-x = 4<BR>\n" );
document.write( "x^2-x+1/4 = 17/4<BR>\n" );
document.write( "(x-1/2)^2 = 17/4<BR>\n" );
document.write( "x-1/2 = sqrt(17)/2 or x-1/2 = -sqrt(17)/2<BR>\n" );
document.write( "x = 1/2+sqrt(17)/2 or x = 1/2-sqrt(17)/2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );