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Let \(a\) and \(b\) be real numbers. Among the four roots of \(z^4 + 4iz^3 - 24z^2 + aiz + b = 0,\) one has real part 1, and another root has real part -5. Find all possible values of \(b.\)

 May 14, 2019
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The possible values of b are 44 and 304.

 Nov 29, 2019

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