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# If $$\alpha$$ and $$\beta$$ are the roots of the equation 3x$$^2$$ â€” 5x + 6 = ...

### Question

If $$\alpha$$ and $$\beta$$ are the roots of the equation 3x$$^2$$ â€” 5x + 6 = 0, find the value of $$\frac{\alpha}{\beta} + \frac{\beta}{\alpha}$$

### Options

A)
$$\frac{1}{9}$$
B)
$$\frac{11}{18}$$
C)
$$\frac{-11}{18}$$
D)
$$\frac{-11}{9}$$

The correct answer is C.