Question

if alpha and beta are zeros of polynomial f(x)=px2+qx+r then find (i)alpha2+beta2 (ii)alpha/beta+beta/alpha (iii)alpha3+beta3​

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.