# Oops complex

Algebra Level 4

Given $$a$$ is a complex number such that $$|a| = 1$$, and $$az^2 + z + 1 = 0$$ has 1 purely imaginary root.

If the real part of $$a$$ can be expressed as $$\frac {\sqrt x - y}k$$ for smallest positive integer $$x,y,k$$, submit $$(x+y)^k$$ as your answer.

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