I have a question that is as follows,

Let where

Use Rouches Theorem to show that if then there are two zeros of p(z) within the unit circle.

Now i chose and

and then evaluated these at z=1, as on the boundary of the circle to get,

i then said that by rouches theorem, (i.e p(z)) has the same number of zeros as g(z), i.e. 2, if

which leads to me concluding that this is when

Does anyone know what i am doing wrong?