# Ron's Roots

Algebra Level 3

Let $$\alpha$$ and $$\beta$$ be the roots of $$3 x^{2} + 4x + 9 = 0$$. Then $$(1+ \alpha)(1 + \beta)$$ can be expressed in the form $$\frac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers. Find $$a+b$$.

This problem is posed by Ron G.

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