# Imaginary roots (2)

Algebra Level 4

$$x = \sqrt[a]{n}$$

$$x$$ has $$a$$ different solutions: $$x_{1}, x_{2}, x_{3}, ..., x_{a-1}$$ and $$x_{a}$$

You are given the following:

$x_{1} = \sqrt{3}$ $x_{a} = \frac{3 - i\sqrt{3}}{2}$

Find $$n$$.

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