Complex Numbers And Quadratic Equations question 513

Question: If $ \alpha ,\beta $ and $ \gamma $ are the roots of the equation $ 5x^{3}-qx-1=0 $ , $ ( q\in R ) $ then find the value of $ \frac{{{\alpha }^{2}}-3}{\beta \gamma }+\frac{{{\beta }^{2}}-3}{\gamma \alpha }+\frac{{{\gamma }^{2}}-3}{\alpha \beta } $ .

Solution:

Answer: 3.00