What are the solutions to the equation z^4=-1+i ?

The solutions to the equation z^4=-1+i are

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z^4=-1+i

z^{4} = - 1 + i

Solution steps

z^{4} = - 1 + i

For

z^{n} = a

the solutions are

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

For

n = 4, a = - 1 + i

∣ a ∣ = 2

ar g (a) = - \frac{π}{4} + π

Simplify

(x^{2} - 10)^{2} - 3 (x^{2} - 10) - 4 = 0

2 x^{5} + 24 x = 14 x^{3}

\frac{1}{2} = 4 x^{3} - 9 x^{2} - 1

x^{3} + 9 x^{2} + 20 x = 0

x^{3} - 8 x^{2} + 5 x + 14 = 0

What are the solutions to the equation z^4=-1+i ?
The solutions to the equation z^4=-1+i are
Find the zeros of z^4=-1+i
The zeros of z^4=-1+i are