Sum of Roots

Algebra Level 3

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

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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