Quadratic Equations · Symmetric functions of roots

Let

a, b \in \mathbb{C}

. Let

\alpha, \beta

be the roots of the equation

x^2 + ax + b = 0

. If

\beta - \alpha = \sqrt{11}

and

\beta^2 - \alpha^2 = 3i\sqrt{11}

, then

(\beta^3 - \alpha^3)^2

is equal to:

Video solution coming soon

We're animating every PYQ step by step. Subscribe to get them first.