Question

10.If alpha and Beta are roots of x²+5x-1=0, then find the value of (alpha² + beta²) =_______

Answer 1

Answer:

${ \alpha }^{2} + { \beta }^{2} = {( \alpha + \beta )}^{2} - 2 \alpha \beta \\ = {( - 5)}^{2} - 2 \times ( - 1) = \\ 25 + 2 = 27$