Question 501007
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The set of Real numbers is a subset of the Complex numbers.  Complex numbers have the form *[tex \Large \alpha\ +\ \beta i] where *[tex \Large \alpha] and *[tex \Large \beta] are Real numbers and *[tex \Large i] is the imaginary number defined by *[tex \Large i^2\ =\ -1].  The *[tex \Large \alpha] part of a Complex number is called the Real part and the *[tex \Large \beta i] part of a Complex number is called the Imaginary part.  The set of Real numbers is that subset of the Complex numbers where *[tex \Large \beta =\ 0].  All Complex numbers where *[tex \Large \beta\ \neq\ 0] are not Real numbers.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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