The roots of the equation $x^2-2x-4=0$ are $\alpha$ and $\beta$. Without solving the equation,

Question

The roots of the equation $x^2-2x-4=0$ are $\alpha$ and $\beta$. Without solving the equation, find an equation whose roots are $\alpha^3$ and $\beta^3$.

Accepted Answer

$x^2-32x-64=0$

Equation with cubed roots

Equation with cubed roots

Solution:

Solution locked