5. Find and sketch on the complex plane the 7 seventh roots of 128. Repeat the operation for 128j. Hint: Express 7 as 7e2nk for k = 0, 1, 2,, 6 (Why is this correct?) and find the roots for each case. The roots must all fall on a circle on the complex plane. How would you do similarly for 128j?

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. Find and sketch on the complex plane the 7 seventh roots of 128. Repeat the operation for
128j.
Hint: Express 7 as 7e2nk for k = 0, 1, 2, , 6 (Why is this correct?) and find the roots
for each case. The roots must all fall on a circle on the complex plane. How would you do
similarly for 128j?
Transcribed Image Text:5. Find and sketch on the complex plane the 7 seventh roots of 128. Repeat the operation for 128j. Hint: Express 7 as 7e2nk for k = 0, 1, 2, , 6 (Why is this correct?) and find the roots for each case. The roots must all fall on a circle on the complex plane. How would you do similarly for 128j?
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