Question

If alpha and beta are the zeroes of quadratic polynominal f(x) = px² + qx + r
Then evaluate it
$\sf \dfrac{1}{p \alpha \: + q} + \dfrac{1}{p \beta + q}$
​

Answer 1

Answer:

f(x)=px2 +qx +r;

sum of the roots= alpha+Beta =(-q/p);

product of the roots =alpha*beta= r/p;

Put these values in the expression

1/ (p.alpha+q) + 1/ (p.beta+q)

On solving you will get = q/(pr)

Thanks.

Answer 2

your answer is in the attachment ⬆️⬆️

hope it's help you