Question

Roots of the equation 3x2 – 14x + k = 0 will be reciprocal of each other if :

Answer 1

Answer:

Let alpha and beta be two roots.

It is given alpha=1/beta

alpha+beta=-(-14/3)=14/3

alpha×beta=k/3

(1/beta)×beta=k/3

1=k/3

k=3 Ans