Question

If alpha and beta are the zeroes of the polynomial ax square+bx +c then find the values of 1 by alpha + 1 by beta

Answer 1

Answer :

The given polynomial is f(x) = ax² + bx + c

Since α and β are the zeroes of f(x),

    α + β = - b/a .....(i)

    αβ = c/a .....(ii)

Now, 1/α + 1/β

    = (β + α)/(αβ)

    = (- b/a)/(c/a)

    = - b/c

⇒ 1/α + 1/β = - b/c

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