ABSTRACT
We now turn to the problem of solving polynomial equations which is exactly the problem Galois had in mind when he developed his theory. Before we discuss arbitrary polynomial equations f(x) = 0 (which will be done in the next section), we will modestly start by only discussing “pure equations”, i.e., equations of the form xn − a = 0. It will turn out that the treatment of this special case gives us already the main tool to tackle polynomial equations in general.
