The given equation is
[tex]vw^2 + y=x[/tex]
And we have to solve for w .
For that we first get rid of y. And for that, we subtract y from both sides,
[tex]vw^2 =x-y[/tex]
Now we need to separate v from w square, and for that, we divide both sides by v, that is
[tex]w^2 = \frac{x-y}{v}[/tex]
Now to get rid of square, we take square root to both sides. That is
[tex]w= \pm \sqrt{ \frac{x-y}{v}}[/tex]
And that's the required answer.
