document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=332810>Question 332810</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I cannot find a step-by-step guide to show me how to work this equation to get an answer, My examples show to put equation into au^2 + bu + c = 0.\r<BR>\n" );
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document.write( "The problem is<BR>\n" );
document.write( "w^4 - 12w^2 - 2 = 0\r<BR>\n" );
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document.write( "Put into above form it is <BR>\n" );
document.write( "u^2 - 12u - 2 = 0\r<BR>\n" );
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document.write( "Then I am stuck. Do I use the quadratic formula and how do I change it back to get w's solution after  solving for u? Thanks in advance.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #238456 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=238456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large u\ =\ w^2\">.\r<BR>\n" );
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document.write( "Then solve\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ u^2\ -\ 12u\ -\ 2\ =\ 0\">\r<BR>\n" );
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document.write( "for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large u_1\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large u_2\">\r<BR>\n" );
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document.write( "Then set\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ w^2\ =\ u_1\">\r<BR>\n" );
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document.write( "and solve for the two roots\r<BR>\n" );
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document.write( "Then set\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ w^2\ =\ u_2\">\r<BR>\n" );
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document.write( "and solve for the two roots giving you 4 roots in all which is exactly what was expected for a quartic equation.  One of the roots of the equation in <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large u\"> will be negative (<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -6\ -\ sqrt{38}\ <\ 0\">, hence one pair of values of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large w\"> will be a complex conjugate pair.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "</font> </SPAN>\n" );
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