$ax^3 +bx^2 + cx + d= 0$

If the roots are $\alpha$ $\beta$ and $\gamma$,

Is there any relationship between the sum of the squares of the roots and the coefficients of the quadratic equation..

In other words:

$\alpha^2$$\beta^2$+$\beta^2$$\gamma^2$+$\gamma^2$$\alpha^2$= something to do with the coefficients?


Use Vieta's formulas

and the following identity:



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