SOLUTION: find all the complex roots. leave your answer is polar form with arguments in degress. The complex fourth of -25i

Question 930046: find all the complex roots. leave your answer is polar form with arguments in degress. The complex fourth of -25i
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find all the complex roots. leave your answer is polar form with arguments in degress. The complex fourth of -25i
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r = 25
theta = 270 degrees
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-25i = 25(cis(270))
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Your Problem::
(-25i)^(1/4) = 25^(1/4)(cis(270/4))
(-25i)^(1/4) = 25*(1/4)cis((270+360)/4) = 25^(1/4)cis(270/4 + 90)
(-25i)^(1/4) = 25^(1/4)cis((270+720)/4) = 25^(1/4)cis(270/4 + 180)
etc.
Cheers,
Stan H.
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