A question on quadratic equations.. Given below in the picture.

Question

PLease also tell how u got to the answer as I want to know the way to solve further questions

Answer 1

Take the product of the two roots, say $\;1,w\;$ and use Viete's formulae:

$$w=1\cdot w=\frac{c(a-b)}{a(b-c)}$$

Answer 2

By Vieta's formulas, letting $\alpha$ be the other root, $$1+\alpha=-\frac{b(c-a)}{a(b-c)}\iff \alpha=-\frac{b(c-a)}{a(b-c)}-1=\frac{c(a-b)}{a(b-c)}.$$

Answer 3

This is what I have worked out Thanks to the above two answers.........