# Is not hard!

**Number Theory**Level 3

\[ ( \alpha - 3\beta)^2 +203 (\alpha - 3)(\beta - 1) -191\alpha \beta = 9 \]

If \(\alpha\) and \(\beta\) are positive integers satisfying the equation above, find the sum of all possible values of \(\alpha\).

\[ ( \alpha - 3\beta)^2 +203 (\alpha - 3)(\beta - 1) -191\alpha \beta = 9 \]

If \(\alpha\) and \(\beta\) are positive integers satisfying the equation above, find the sum of all possible values of \(\alpha\).

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