What are the solutions to the equation x^4=-16i ?

The solutions to the equation x^4=-16i are

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x^4=-16i

x^{4} = - 16 i

x = 2 + 2 - i 2 - 2, x = 2 - 2 + i 2 + 2, x = - 2 + 2 + i 2 - 2, x = - 2 - 2 - i 2 + 2

Solution steps

x^{4} = - 16 i

For

z^{n} = a

the solutions are

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

For

n = 4, a = - 16 i

∣ a ∣ = 16

ar g (a) = - \frac{π}{2}

Simplify

x = 2 + 2 - i 2 - 2, x = 2 - 2 + i 2 + 2, x = - 2 + 2 + i 2 - 2, x = - 2 - 2 - i 2 + 2

\frac{64}{81} = 4 q^{4}

(- 3) (x) = 3 x^{3} + 5

6 x^{5} - 4 x^{3} + 1 = 0

x^{4} = \frac{1}{3}

x^{4} = \frac{1}{5}

What are the solutions to the equation x^4=-16i ?
The solutions to the equation x^4=-16i are
Find the zeros of x^4=-16i
The zeros of x^4=-16i are