Solubility of Polynomials of the Form x^6-ax+b

Abstract: This thesis is an attempt to find a criterion of when a sixtic equation of the form x^6-ax+b=0, with a,b belonging to 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.