Question

If alpha and beta are the zeros of polynomial 2x2+5x+k satisfiying a relation alpha2+beta2+alpha and beta =1/24then find the value of k

Answer 1

alpha+beta=-b/a
=-5/2
alpha into beta=c/a
=k/2
25/4-k+k/2=1/24
k/2=150-1/24
k=149/12