What are the solutions to the equation x^5=32i ?

The solutions to the equation x^5=32i are

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x^5=32i

x^{5} = 32 i

x = \frac{5 + 5}{2} + i \frac{3 - 5}{2}, x = 2 i, x = - \frac{5 + 5}{2} + i \frac{3 - 5}{2}, x = - \frac{10 - 2 5}{2} + i \frac{- 1 - 5}{2}, x = \frac{10 - 2 5}{2} + i \frac{- 1 - 5}{2}

Solution steps

x^{5} = 32 i

For

z^{n} = a

the solutions are

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

For

n = 5, a = 32 i

∣ a ∣ = 32

ar g (a) = \frac{π}{2}

Simplify

x = \frac{5 + 5}{2} + i \frac{3 - 5}{2}, x = 2 i, x = - \frac{5 + 5}{2} + i \frac{3 - 5}{2}, x = - \frac{10 - 2 5}{2} + i \frac{- 1 - 5}{2}, x = \frac{10 - 2 5}{2} + i \frac{- 1 - 5}{2}

- 2 x^{3} - 2 x^{2} + 1 = 0

12500 = 10000 (1 + X)^{10}

x^{4} - 1 0^{2} + 16 = 0

(x - 4)^{4} - 80 = 0

x^{4} + 9 x^{2} - 36 = 0

What are the solutions to the equation x^5=32i ?
The solutions to the equation x^5=32i are
Find the zeros of x^5=32i
The zeros of x^5=32i are