Question: For a function e z - az n , using a rouche's theorem, i found that the function has n roots in a unit circle

For a function e^z - azⁿ, using a rouche's theorem, i found that the function has n roots in a unit circle but i can't prove that if n=2, they are all real.

I think it's related to if z is a root, conjugate of z is a root but i can't think further.

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