# The Roots Are Right There!

Algebra Level 4

$x^3 + ax^2 + bx + c = 0$

Nonzero integers $a$, $b$, and $c$ are the roots of the above equation. If $\alpha$ and $\beta$ are the roots of the equation $ax^2 + bx + c = 0$, what is $\alpha^2 + \beta^2$?

×