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Imaginary triangles (Posted on 2021-09-24) Difficulty: 4 of 5
Consider the set of cubic polynomials, x3 + (1-p)x2 + px + 1, p ∈ Z. Then consider the set of triangles formed by the roots of these polynomials in the complex plane. Find the value of p which maximizes the area of such triangles.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
solnSteven Lord2021-10-03 17:11:26
possible solnSteven Lord2021-09-29 06:49:55
Some ThoughtsA start. Stuck.Jer2021-09-28 08:38:55
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