Find all complex solutions of the equation x^3-i=0. Leave answers in polar form.

Question

Find all complex solutions of the equation x^3-i=0. Leave answers in polar form.

Answer 1

x³ - i = 0

x = i ^1/3

Use DeMoivre's Theorem to express i ^1/3 in terms of cos () and i sin().

From this you can then find the three cube roots of i.

 

 

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