What are the solutions to the equation x^4+16i=0 ?

The solutions to the equation x^4+16i=0 are

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x^4+16i=0

x^{4} + 16 i = 0

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 = 0

Move

16 i

to the right side

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

2 x^{3} - 3 x^{2} - 36 x = 0

x^{5} + 2 x - 7 = 50

u^{4} - u^{2} + 1 = 0

3 x^{4} + 26 = 19 x^{2}

0 = x^{4} + 4 x + 3

What are the solutions to the equation x^4+16i=0 ?
The solutions to the equation x^4+16i=0 are
Find the zeros of x^4+16i=0
The zeros of x^4+16i=0 are