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Omni-MATH / How many real triples (a,b,c) are there such that the polynomial p(x)=x⁴+ax³+bx²+ax+c has exactly three distinct roots, which are equal to tany,tan2y, and tan3y for some real y ? · Discussion

Discussing How many real triples (a,b,c) are there such that the polynomial p(x)=x⁴+ax³+bx²+ax+c has exactly three distinct roots, which are equal to tany,tan2y, and tan3y for some real y ? · Omni-MATH

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