MAT334-2018F > End of Semester Bonus--sample problem for FE

FE Sample--Problem 5

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Victor Ivrii:
We know that there is just one root. Min Gyu proved that there exists a real root.

Alternatively we can see that if $z$ is the root, so is $\bar{z}$, which would not be equal $z$ if $z$ is not real. But then we would have at least two roots.