Time remaining:
math college calculus

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

find all the complex fifth roots of −27 hint; z1/n= r1/n cos(θ+2πk/n )+i sin(θ+2πk/n )

Apr 2nd, 2015

  –27 = 27(cos π + i sin π) has five fifth roots

(–27)1/5 = 271/5 ({cos [π/5 + (2 /5)πk] + i sin [π/5 + (2 /5)πk]} where k = 0, 1, 2, 3, and 4

z1 = 271/5 [cos (π/5) + i sin (π/5)] = 1.56 + 1.14i

z2 = 271/5 [cos (3π/5) + i sin (3π/5)] =–0.597 + 1.84i

z3 = 271/5 [cos π + i sin π] = – 271/5 = – 1.93

z4 = 271/5 [cos (7π/5) + i sin (7π/5)] = – 0.597 – 1.84i

z5 = 271/5 [cos (9π/5) + i sin (9π/5)] = 1.56 – 1.14i

Apr 2nd, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Apr 2nd, 2015
...
Apr 2nd, 2015
Jun 25th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer