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Sufficient Conditions for Solubility of Polynomials of the Form x6 − ax + b
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This article is an attempt to find a criterion of when a sixtic equation of the form x6 − ax + b = 0, with a, b 2 Z, is soluble. To do this we use Galois theory and a theorem by Frobenius. We state some different criteria of the coefficients, a and b, which make the sixtic soluble.
Abstract
This article is an attempt to find a criterion of when a sixtic equation of the form x6 − ax + b = 0, with a, b 2 Z, is soluble. To do this we use Galois theory and a theorem by Frobenius. We state some different criteria of the coefficients, a and b, which make the sixtic soluble.
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