document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=94436>Question 94436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the real and complex solutions to the equation x^3 + 1 = 0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68766 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=68766\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the real and complex solutions to the equation x^3 + 1 = 0.<BR>\n" );
document.write( "This is the \"sum of cubes\" form.  It factors as follows:<BR>\n" );
document.write( "(x+1)(x^2-x+1)=0<BR>\n" );
document.write( "So, x= -1 or x^2-x+1=0<BR>\n" );
document.write( "If x^2-x+1 = 0<BR>\n" );
document.write( "x = [1+-sqrt(1-4)]/2<BR>\n" );
document.write( "x = [1+isqrt(3)]/2 or x= [ 1-isqrt(3)]/2<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );