# Sum of Roots

Algebra Level 2

$\large 2x^{2} - 4x + 1 = 0$

If $$\alpha$$ and $$\beta$$ are the roots of the equation above, then what is the value of $$\frac{1}{ \alpha + 2\beta } + \frac{1}{ \beta + 2\alpha }$$?

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