Get all the Real Parts of the Problem (Posted on 2016-12-03)

	Submitted by Brian Smith
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n can be 2, 3 or 4. Factor the polynomial into (x^4 - r1)*(x^4 - r2). Then the eight roots consist of the four complex fourth roots of r1 and the four complex fourth roots of r2. Each set of four roots will have either 1 or 2 roots with positive real parts; 1 in the case of r1 or r2 being a positive real or 2 in any other case. Then {1 or 2} + {1 or 2} yields {2, 3, or 4} possible roots of the original equaiton that have a real part.