document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180663>Question 1180663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use De Moivre’s Theorem to solve for z and leave answer in polar form with the angle in radians<BR>\n" );
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document.write( "Z^4=-1+ j square root of 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810396 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=810396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Bi%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"-1%2Bi%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cis%282pi%2F3%29 ALIGN=MIDDLE  ALT=\"2cis%282pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E4+=+2cis%282pi%2F3%29 ALIGN=MIDDLE  ALT=\"z%5E4+=+2cis%282pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To find the \"first\" solution using deMoivre's Theorem...<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%282cis%282pi%2F3%29%29%5E%281%2F4%29+=+%282%5E%281%2F4%29%29cis%28%282pi%2F3%29%2F4%29+=+2%5E%281%2F4%29cis%28pi%2F6%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then the other roots are spaced around the complex plane at increments of (2pi)/4=pi/2:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%5E%281%2F4%29cis%28pi%2F6%29 ALIGN=MIDDLE  ALT=\"z=2%5E%281%2F4%29cis%28pi%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%5E%281%2F4%29cis%282pi%2F3%29 ALIGN=MIDDLE  ALT=\"z=2%5E%281%2F4%29cis%282pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%5E%281%2F4%29cis%287pi%2F6%29 ALIGN=MIDDLE  ALT=\"z=2%5E%281%2F4%29cis%287pi%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%5E%281%2F4%29cis%285pi%2F3%29 ALIGN=MIDDLE  ALT=\"z=2%5E%281%2F4%29cis%285pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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