document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67434>Question 67434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the 4 roots of the equation:<BR>\n" );
document.write( "x^4+kx^2+1=0<BR>\n" );
document.write( "k^2<4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47976 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=47976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> figure that p = x^2 for now:<BR>\n" );
document.write( "(x^2)^2 + k(x^2) + 1 = 0<BR>\n" );
document.write( "p^2 + kp + 1 = 0<BR>\n" );
document.write( "p^2 + kp = -1<BR>\n" );
document.write( "(p + k/2)^2 = -1 + k^2/4<BR>\n" );
document.write( "p + k/2 = +- sqrt(k^2/4 - 1)<BR>\n" );
document.write( "p = -k/2 +- sqrt(k^2/4 - 1)<BR>\n" );
document.write( "x^2 = -k/2 +- sqrt(k^2/4 - 1)<BR>\n" );
document.write( "x = +- sqrt(-k/2 +- sqrt(k^2/4 - 1))<BR>\n" );
document.write( "~~~~~~<BR>\n" );
document.write( "k^2 < 4<BR>\n" );
document.write( "-2 < k < 2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );