Question

if alpha and beta are the zeros of the polynomial f x is equal to px square - 2 X + 3 P and alpha and alpha + beta equals alpha beta then the find the value of p

Answer 1

$p {x}^{2} - 2x + 3p = 0 \\ \alpha + \beta = \frac{ - b}{a} = \frac{2}{p} \\ \alpha \beta = \frac{c}{a } = \frac{3p}{p} = 3 \\ now \\ \alpha + \beta = \alpha \beta \\ \frac{2}{p} = 3 \\ p = \frac{2}{3}$