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Get all the Real Parts of the Problem (Posted on 2016-12-03) Difficulty: 4 of 5
Generalize the equation from get the real part of the problem to become
x^8 - b*x^4 + c = 0.

For which integers n (from 0 to 8, obviously) is it possible to choose coefficients b and c such that there are n roots in which the real portion is positive. The preceding problem shows n=3 is possible with (b,c)=(-1,-240)

See The Solution Submitted by Brian Smith    
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