What are the solutions to the equation iz^3=8 ?

The solutions to the equation iz^3=8 are z=sqrt(3)-i,z=2i,z=-sqrt(3)-i

Find the zeros of iz^3=8

The zeros of iz^3=8 are z=sqrt(3)-i,z=2i,z=-sqrt(3)-i

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i z^{3} = 8

z = 3 - i, z = 2 i, z = - 3 - i

Solution steps

i z^{3} = 8

Divide both sides by

i

z^{3} = - 8 i

For

z^{n} = a

the solutions are

k = 0, 1, \dots, n - 1

For

n = 3, a = - 8 i

∣ a ∣ = 8

ar g (a) = - \frac{π}{2}

Simplify

z = 3 - i, z = 2 i, z = - 3 - i

x^{3} + 4 x^{2} + 3 x + 2

x^{4} - 16 x^{2} = x^{2} + 18

z^{6} - 2 z^{3} + 2

0 = x^{3} + 21 x - 90

(9 x^{3} + 6 x^{2} - 48 x + 10) = - 10

What are the solutions to the equation iz^3=8 ?
The solutions to the equation iz^3=8 are z=sqrt(3)-i,z=2i,z=-sqrt(3)-i
Find the zeros of iz^3=8
The zeros of iz^3=8 are z=sqrt(3)-i,z=2i,z=-sqrt(3)-i