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Consider the polynomial equation z^5 = 243. (a)How many solutions does this equation have when z R? How many solutions do it have when z
Consider the polynomial equation
z^5 = 243.
- (a)How many solutions does this equation have when z R? How many solutions do it have when z C? Give a brief explanation of why these numbers are the same or why they are different.
- (b)Find all solutions to this equation when z C and show that solutions with an imaginary part occur in complex conjugate pairs.
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Elementary Analysis The Theory Of Calculus
Authors: Kenneth A Ross
2nd Edition
1461462711, 9781461462712
