Question

if alpha and beta are zeroes of p(x)=x^2-px+q then 1/alpha+1/beta is
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Answer 1

Answer:

$x^2-px+q=0$

Roots of this equation are α and β.

⇒Sum of roots= α + β = -(-p)

⇒α + β = p

Product of roots = αβ = q

Now we have to find:

⇒1/α + 1/β = (α+β)/αβ

⇒ (α+β)/αβ = $\frac{p}{q}$