document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234353>Question 234353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^2 + x sqrt(x^2 + x) - 2 = 0<BR>\n" );
document.write( "Find all real solutions.  Please help as once again this one is getting the better of me! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172875 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=172875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 + x sqrt(x^2 + x) - 2 = 0<BR>\n" );
document.write( "x^2-2=-xsqrt(x^2+x)<BR>\n" );
document.write( "x^4-4x^2+4=x^4+x^2 square each side.<BR>\n" );
document.write( "5x^2-4=0<BR>\n" );
document.write( "5x^2=4<BR>\n" );
document.write( "x^2=4/5<BR>\n" );
document.write( "x=+-2/sqrt(5)<BR>\n" );
document.write( "x=+-2sqrt(5)/5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );