document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143530>Question 1143530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve:  (x+iy)^5 + (x-iy)^5 = -8  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764467 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=764467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve:  (x+iy)^5 + (x-iy)^5 = -8<BR>\n" );
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document.write( "C = x + iy ---> sqrt(2)cis(45)<BR>\n" );
document.write( "D = x - iy ---> sqrt(2)cis(315)<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "C^5 = sqrt(32)cis(225)<BR>\n" );
document.write( "D^5 = sqrt(32)cis(1575) = sqrt(32)cis(135)<BR>\n" );
document.write( "-8 = -8cis(0) = -8*1 + i*0<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "C^5 = sqrt(32)*(-sqrt(2)/2 + i*(-sqrt(2)/2))<BR>\n" );
document.write( "D^5 = sqrt(32)*(-sqrt(2)/2 + i*(sqrt(2)/2))<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "C^5 + D^5 = -sqrt(64) = -8<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Did you mean solve?<BR>\n" );
document.write( "Or confirm the identity?<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "It's a confirmation of  the case that x & y are equal.  I forgot to state that.<BR>\n" );
document.write( "If x <> y, then it's more tedious and not worth the effort without knowing what you want to do. </SPAN>\n" );
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