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Given that an equation of the form f(x) = x^n has n solutions, and that the solutions are equally spaced at a given radius in t...Asked by April
Given that an equation of the form f(x) = x^n has n solutions, and that the solutions are equally spaced at a given radius in the complex plane, discuss why complex solutions must occur in conjugate pairs when .
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Answered by
Steve
because one solution will lie on the positive real axis. The rest are evenly spaced above and below that axis, giving conjugate pairs.
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