document.write( "Question 670502: I have been given this question, can you help me out.Find all roots of the equation z^5 = i, i.e. find the five values of i^(1/5)and show them on an Argand diagram. \n" ); document.write( "
Algebra.Com's Answer #416947 by Alan3354(69443)\"\" \"About 
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I have been given this question, can you help me out.Find all roots of the equation z^5 = i, i.e. find the five values of i^(1/5)and show them on an Argand diagram.
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\n" ); document.write( "i = cis(90) + n*360
\n" ); document.write( "\"root%285%2Ci%29+=+cis%2818%29+%2B+n%2A72\"
\n" ); document.write( "--> cis(18) = cos(18) + i*sin(18)
\n" ); document.write( "cis(90) = i
\n" ); document.write( "cis(162)
\n" ); document.write( "cis(234)
\n" ); document.write( "cis(306)
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\n" ); document.write( "You'll have to make the diagram.\r
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