document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=876543>Question 876543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all roots of the equation z^5 = i, i.e. find the five values of <BR>\n" );
document.write( "i^1/5 and show them on an Argand diagram </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528892 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=528892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all roots of the equation z^5 = i, i.e. find the five values of <BR>\n" );
document.write( "i^1/5 and show them on an Argand diagram<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "z^5 = I = 1cis(90) + n*360, n = 0,1,2,3,4<BR>\n" );
document.write( "z = 1cis(18, 90, 162, 234, 306) in degrees<BR>\n" );
document.write( "z = cos(18) + isin(18), etc.<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "--> pi/10, pi/2, 9pi/10, 13pi/10, 17pi/10 in radians </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );