Solve and show clear solutions. 5. Use De Moivre's Theorem to solve all the roots of x^5 + 1= 0O A. 1 cjs [(Tt+2Tk)/5] ; k = 0, 1, 2, 3, 4B. -1 cjs [(T+2nk)/5]; k = 0, 1, 2, 3, 4O C. 1 cjs [(T+2nk)/5] ; k = 0, 1, 2, 3D. A. - 1 cjs [(T+2nk)/5] ; k = 0, 1, 2, 3

Given that x5+1=0. We know that x+iy=r(cosθ+isinθ(x+iy)n=rn(cosθ+isinθ)n =rn(cosnθ+isinnθ)…

5. Use De Moivre's Theorem to solve all the roots of x^5 +1= 0 O A. 1 cjs [(nt+2nk)/5] ; k = 0, 1, 2, 3, 4 O B. -1 cjs [(T+2nk)/5]; k = 0, 1, 2, 3, 4 O C. 1 cjs [(T+2nk)/5] ; k = 0, 1, 2, 3 O D. A. - 1 cjs [(n+2nk)/5] ; k = 0, 1, 2, 3

5. Use De Moivre's Theorem to solve all the roots of x^5 +1= 0 O A. 1 cjs [(nt+2nk)/5] ; k = 0, 1, 2, 3, 4 O B. -1 cjs [(T+2nk)/5]; k = 0, 1, 2, 3, 4 O C. 1 cjs [(T+2nk)/5] ; k = 0, 1, 2, 3 O D. A. - 1 cjs [(n+2nk)/5] ; k = 0, 1, 2, 3

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Solve and show clear solutions.

5. Use De Moivre's Theorem to solve all the roots of x^5 + 1= 0
O A. 1 cjs [(Tt+2Tk)/5] ; k = 0, 1, 2, 3, 4
B. -1 cjs [(T+2nk)/5]; k = 0, 1, 2, 3, 4
O C. 1 cjs [(T+2nk)/5] ; k = 0, 1, 2, 3
D. A. - 1 cjs [(T+2nk)/5] ; k = 0, 1, 2, 3

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