document.write( "Question 1157653: A solution for z^3 + 2 + 2root3i = 0 \r
\n" ); document.write( "\n" ); document.write( "1) 2^2/3(cos4pi/9 + i.sin 4pi/9) \r
\n" ); document.write( "\n" ); document.write( "2) 4^1/4(cos11pi/12 + i.sin11pi/12) \r
\n" ); document.write( "\n" ); document.write( "3) 2^2/3(cos 17pi/12 + i.sin17pi/12)\r
\n" ); document.write( "\n" ); document.write( "4) 4^1/3(cos7pi/6 + i.sin7pi/6) \r
\n" ); document.write( "\n" ); document.write( "5) 2^2/3(cos11pi/12 + i.sin 11pi/12)
\n" ); document.write( "

Algebra.Com's Answer #780618 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Use deMoivre's Theorem.

\n" ); document.write( "\"z%5E3%2B2%2B2i%2Asqrt%283%29+=+0\"

\n" ); document.write( "\"z%5E3+=+-2-2i%2Asqrt%283%29+=+4cis%284pi%2F3%29\"

\n" ); document.write( "\"z+=+%284cis%284pi%2F3%29%29%5E%281%2F3%29+=+%284%5E%281%2F3%29%29%28cis%284pi%2F9%29%29\"

\n" ); document.write( "That is equivalent to answer 1.

\n" ); document.write( "ANSWER: 1) 2^2/3(cos4pi/9 + i.sin 4pi/9

\n" ); document.write( "
\n" ); document.write( "
\n" );