Question

If α and β are the zeroes of the quadratic polynomial f (x) = x²-px +q, then find the value of

1/ α + 1/ β.​

Answer 1

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Given polynomial : x² - px + q

(α and β are the zeros of given polynomial)

We know that :

Sum of zeroes = - ( cofficient of x / cofficient of x²) : α + β = - (- p)/1

Product of zeroes = (constant/ coffecient x²) : α × β = q/1

Then : 1/α + 1/β = α + β/αβ

= p/q

∴ p/q is the required answer.

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Answer 2

Answer:

Thus, P/q is the required answer mate ✔️