Question

If alpha and beta are the zeros of polynomial p(x) ax^2+bx+c=0 then find alpha square /beta + beta square/alpha

Answer 1

HEY HERE IS YOUR ANSWER...

If alpha,beta are roots of a quadratic equation ax^2+bx+c=0,then

alpha+beta=-b/a

alpha*beta=c/a

Therefore,alpha sq.+beta sq. =(alpha+beta)^2-2.alpha.beta

                                      =(-b/a)^2-2*c/a

                                      =b^2/a^2-2c/a

                                      =(b^2-2ac)/a^2

 HOPE THIS WOULD BE HELPFUL TO YOU...