Roots

Algebra Level 4

If $\alpha$ and $\beta$ are the real roots of $x^2 + px + q = 0$ and $\alpha^4$ and $\beta^4$ are the roots of $x^2 - rx + s = 0,$ then the equation $x^2 - 4qx + 2q^2 - r = 0$ always has what kind of roots?

Two real roots Two positive roots Two negative roots One positive and one negative root