If α and ẞ are the zeroes of the polynomial p(x) = kx2 – 30x + 45k and α + β = αβ, then the value of k is

Question

If α and ẞ are the zeroes of the polynomial p(x) = kx² – 30x + 45k and α + β = αβ, then the value of k is :

(A) -2/3

(C) 3/2

(B) -3/2

(D) 2/3

Answer 1

Correct answer is (D) 2/3

If α and ẞ are the zeroes of the polynomial p(x) = kx² – 30x + 45k and α + β = αβ, then the value of k is 2/3.