If alpha and beta are the zeroes of px2 - 2x+3p and alpha+beta=alpha beta,then find the value of p - Maths - Polynomials

Question

If alpha and beta are the zeroes of px2 - 2x+3p and
alpha+beta=alpha beta,then find the value of p
rn
pls answer it fast !!!!!!!!!!!!!!

Shridhar Kaushik · Accepted Answer

The given polynomial is

$p (x) = p x^{2} - 2 x + 3 p$

Also, α and β are the zeros of p(x).

and α + β = α × β

$\Rightarrow \frac{- (- 2)}{p} = \frac{3 p}{p} \Rightarrow \frac{2}{p} = 3 \Rightarrow p = \frac{2}{3}$

If alpha and beta are the zeroes of px2 - 2x+3p and alpha+beta=alpha.beta,then find the value of p.rnpls answer it fast !!!!!!!!!!!!!!