Find all complex numbers (z) such that (|z|=|sqrt{2}+z|=1). Prove that each of these satisfies (z^{8}=1).
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Find all complex numbers \(z\) such that \(|z|=|\sqrt{2}+z|=1\). Prove that each of these satisfies \(z^{8}=1\).
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Jonas Araujo
I have recently received the degree of PhD. In Physics by the Universidade Federal do Maranhão after spending a term in Durham University, as I have been awarded a scholarship from a Brazilian mobility program. During my PhD. I have performed research mainly in Theoretical Physics and published works in distinguished Journals (check my ORCID: https://orcid.org/0000-0002-4324-1184).
During my BSc. I have been awarded a scholarship to study for a year in the University of Evansville, where I have worked in detection-analysis of photon correlations in the the Photonics Laboratory. There I was a tutor in Electromagnetism, Classical Mechanics and Calculus for most of that year (2012).
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