"Problem: If $\alpha$ and $\beta$ are the roots of the equation

$$x^2 - 5x + 6 = 0,$$

evaluate

$$\alpha^3 + \beta^3.$$"

Question

"Problem: If $\alpha$ and $\beta$ are the roots of the equation

$$x^2 - 5x + 6 = 0,$$

evaluate

$$\alpha^3 + \beta^3.$$"

Vineet Loomba · Accepted Answer

"Problem: If $\alpha$ and $\beta$ are the roots of the equation

$$x^2 - 5x + 6 = 0,$$

evaluate

$$\alpha^3 + \beta^3.$$"

Solution