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

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