Question

If alpha and beta are the roots of the quadratic equation 2x square _x_1

Answer 1

Answer:

$2 {x}^{2} - x - 1 \\ \\ a = 2 \: b = - 1 \: c = - 1 \\ \\ sum \: of \: roots \: \alpha + \beta = \frac{ - b}{a} \\ \\ = \frac{ - ( - 1)}{2} \\ \\ = \frac{1}{2} \\ \\ product \: of \: roots \: \alpha \beta = \frac{c}{a} \\ \\ = \frac{ - 1}{2}$