document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286859>Question 286859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that 2i is a root of the polynomial equation x^4 - 45x^2 - 196 = 0,find the solution set for the equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #208016 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=208016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that 2i is a root of the polynomial equation x^4 - 45x^2 - 196 = 0,find the solution set for the equation.<BR>\n" );
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document.write( "Complex roots occur in conjugate pairs, so -2i is also a root.<BR>\n" );
document.write( "(x+2i)*(x-2i) = x^2 + 4<BR>\n" );
document.write( "Divide the polynomial by (x^2 + 4) and solve the remaining quadratic.<BR>\n" );
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