If $\alpha, \beta, \gamma$ are the roots of $x^3+a x^2+b x+c=0$ then $\sum \frac{1}{\alpha}=\ldots$, if $\alpha, \beta, \gamma$ are non-zero

Question

Aicharya · Accepted Answer

No solution. Refer to answer key.

If $\alpha, \beta, \gamma$ are the roots of $x^3+a x^2+b x+c=0$ then $\sum \frac{1}{\alpha}=\ldots$, if…