document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207603>Question 1207603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each equation in the complex number system.\r<BR>\n" );
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document.write( "1. x^4 = 16\r<BR>\n" );
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document.write( "2. x^4 + 13x^2 + 36 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845580 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Both equations are polynomials of degree 4; each has 4 solutions.  For the first problem, the other tutor found two solutions \"by inspection\", which does not provide a complete solution.<br><BR>\n" );
document.write( "1. x^4=16<br><BR>\n" );
document.write( "For all polynomial equations of degree greater than 1, write the equation with \"0\" on one side and solve by factoring if possible.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4-16=0 ALIGN=MIDDLE  ALT=\"x%5E4-16=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B4%29%28x%5E2-4%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B4%29%28x%5E2-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2i%29%28x-2i%29%28x%2B2%29%28x-2%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B2i%29%28x-2i%29%28x%2B2%29%28x-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solutions: 2, -2, 2i, -2i<br><BR>\n" );
document.write( "2. x^4+13x^2+36=0<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2B13x%5E2%2B36=0 ALIGN=MIDDLE  ALT=\"x%5E4%2B13x%5E2%2B36=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B9%29%28x%5E2%2B4%29=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B9%29%28x%5E2%2B4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3i%29%28x-3i%29%28x%2B2i%29%28x-2i%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B3i%29%28x-3i%29%28x%2B2i%29%28x-2i%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solutions: 2i, -2i, 3i, -3i<br><BR>\n" );
document.write( " </SPAN>\n" );
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