Law of quadratic insanity

Algebra Level 5

\[\large \frac { { \alpha x }^{ 2 }-7x+5 }{ { 5x }^{ 2 }-7x+\alpha } \]

\( \alpha \) is a real number such that the image of the above expression is all real values. If \( \alpha \) lies in the interval \( (p,q) \), find \( p + q \).

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