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

Answer:

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

α + β = p

αβ = q

now,

$\frac{1}{ \alpha } + \frac{1}{ \beta } \\ = \frac{ \alpha + \beta }{ \alpha \beta } \\ = \frac{p}{q}$