If one root of the equation 4x2 – 2x + (λ – 4) = 0 be the reciprocal of the other, then k
Let α and β be the two roots of the given equation
4x2 – 2x + (λ – 4) = 0
According to the given condition
α = 1/β
Here a = 4, b = – 2 and c = (λ – 4)
α + β = 2/4 = 1/2
1/β + β = 1/2
α β =
β =
K = 8