Question

 If α and β are the zeros of quadratic polynomial f(x)=x²-px+q,then find the value of 1/α + 1/β
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Answer 1

Step-by-step explanation:

f(x) = x² - px + q

f(x) = x² - x(α + β) + ab [ α and β are zeros ]

on comparison

p = α + β and q = αβ

now, p/q = (α + β)/αβ

=> α/αβ + β/αβ = p/q

=> 1/β + 1/α = p/q

therefore 1/α + 1/β = p/q