# Complexity is here!

Algebra Level 5

If $$a = \cos(x) + i\sin(x)$$ and the equation $$az^2 + z + 1 = 0$$ ( where $$z \in \mathbb{C}$$ ) has a purely imaginary root , find the positive value of $$\tan(x)$$ up to 3 decimal places.

×