Question

If α and β are the zeros of the polynomial x² -px+q then find the value of 1/α+ 1/β.

Answer 1

Answer: $\frac{p}{q}$

Step-by-step explanation:

In this type of questions, we *always* start with what we need to find.

So,  $\frac{1}{\alpha } + \frac{1}{\beta } = \frac{\alpha +\beta }{\alpha \beta }$

Now, we can easily find out the values

$We\ know,\\\\\alpha +\beta =\frac{-(-p)}{1}=p\\\\ \alpha\beta =\frac{q}{1} =q\\\\So, the\ answer\ is\ \frac{p}{q}$

Hope it helps!