Question

if @(alpha) and beta are the zeroes of the polynomial 5y square-7y+1 . find the value of:
i) 1/@(alpha)+1/beta-@(alpha)×beta
ii)1/@(alpha)-1/beta

Answer 1

since alpha and beta are the zeros therefore alpha +beta =–b/a therefore alpha+beta=7/5 and alpha.beta=1/5
now 1st 1/alpha+1/beta–alpha·beta
alpha + beta/alpha·beta–alpha·beta
put the value and solve it you will get 34/5
now 2nd is like that only