Question

Use De Moivre's Theorem to find all of the complex solutions of the equation x³-i=0. Express the answer in rectangular form.

Any help at all would be greatly appreciated. Thanks!

Answer 1

x^3 = i = e^(i(pi/2 + 2kpi))
x = e^(i(pi/2 + 2KPI)/3)

Answer 2

so x = e^(ipi/6), e^(5ipi/6) and e^(7ipi/6)

Answer 3

so now expand these into rectangular form

Answer 4

OK

Answer 5

thanks

Answer 6

no, thank you!