Question

If alpha,beta r the zeros of a polynomial 5y2- 7y +1 find the value of alpha cube +beta cube

Answer 1

$\alpha + \beta = \frac{7}{5} \\ \alpha \beta = \frac{1}{5} \\ { \alpha }^{3} + { \beta }^{3} = ( \alpha + \beta )( { \alpha }^{2} + { \beta }^{2} - \alpha \beta )$