Question

if alpha and beta are the zeros of the polynomial 2x^2-4x+5 then find the value of 1/alpha+1/beta?

Answer 1

Answer :

The given polynomial is

p (x) = 2 x^2 - 4x + 5

Since, α and β are the zeroes of p (x),

α + β = - (- 4)/2

⇒ α + β = 2 ...(i)

and

αβ = 5/2 ...(ii)

Now, 1/α + 1/β

= (β + α)/(αβ)

= 2/(5/2)

= 4/5

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Answer 2

Answer:

The given polynomial is

p (x) = 2 x^2 - 4x + 5

Since, α and β are the zeroes of p (x),

α + β = - (- 4)/2

⇒ α + β = 2 ...(i)

and

αβ = 5/2 ...(ii)

Now, 1/α + 1/β

= (β + α)/(αβ)

= 2/(5/2)

= 4/5

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