What are the solutions to the equation 5x^4=-10i ?

The solutions to the equation 5x^4=-10i are

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5x^4=-10i

5 x^{4} = - 10 i

Solution steps

5 x^{4} = - 10 i

Divide both sides by

5

x^{4} = - 2 i

For

z^{n} = a

the solutions are

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

For

n = 4, a = - 2 i

∣ a ∣ = 2

ar g (a) = - \frac{π}{2}

Simplify

2 x^{3} + 16 = 0

x^{3} - 8 x^{2} - 9 x + 72 = 0

a^{3} - 9 a^{2} + 14 a = 0

(+ x^{2}) (x - 5) = 1

x^{4} - 12 x^{3} + 36 x^{2} = 0

What are the solutions to the equation 5x^4=-10i ?
The solutions to the equation 5x^4=-10i are
Find the zeros of 5x^4=-10i
The zeros of 5x^4=-10i are