Help for a basic problem

Can I get a symbolic formula of x, while x satisfies a complex equation, x^3
= a+b*i, where a and b are real-valued variables?

I was trying to figure it out using x = R_x+I_x*i, but it turns out to be a
very complex equation.

If no analytical solution is available, how can I get it, by numerical
method?

Thanks



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