# An algebra problem by Sheikh Sakib Ishrak Shoumo

Algebra Level 3

Let the zeros of $$7x^2+x+7=0$$ be $$\alpha$$ and $$\beta$$. Now, $$\alpha^3 + \beta ^3 =\dfrac pq$$ for some positive coprime integers $$p$$ and $$q$$. Find $$p+q$$.

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