Question

if alpha and beta are zeroes of the quadratic polynomial p(x) = x^2-(k+6)x+2(2k-1) then find the value of k if alpha beta = alpha beta / 2

Answer 1

p(x)=x^2-(k+6)x+2(2k+-1)
alpha beta=c/a=4k-2
it is given that alpha beta=alpha beta/2
4k-2=4k-2/2
4k-2=2k-1
2k=1. => k=1/2.........
hope it helps......

Answer 2

plz refer to this attachment