# Unity Application

Algebra Level 4

Let $$\alpha, \beta, \gamma$$ be the roots of the equaiton $$z^3= 1$$ such that $$\beta$$ is in the form $$\frac { -a + i \sqrt b }{c}$$ where $$a,b,c$$ are positive integers and $$\gamma$$ as the conjugate of $$\beta$$.

Given that $$x = \beta - \gamma - \alpha - 1$$. Find the value of $$x^4 + 3x^3 + 2x^2 - 11x - 6$$.

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