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**Chapter 3 / RouchÃ©'s Theorem**

« **on:**December 10, 2020, 09:44:20 PM »

For questions that have to apply RouchÃ©'s Theorem, do we need to discuss zeros on $\gamma$?

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For questions that have to apply RouchÃ©'s Theorem, do we need to discuss zeros on $\gamma$?

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I think your idea is correct and it's unmistakable to apply the same principle when solving higher order equations

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Your answer is not wrong. But I think it's always better if we are able to simplify as much as possible.

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Hint: How do we illustrate $z \to \infty$ on a complex plane?

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I think this depends on how you want to represent your solution. Both of them seems rational to me.

But $x$ does not necessarily to be $0$ since $p$ and $q$ are some arbitrary complex numbers.

But $x$ does not necessarily to be $0$ since $p$ and $q$ are some arbitrary complex numbers.

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Hi, there might be a typo in second line of your answer.

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