As I read it, the WP article very nicely points out that exact roots are possible" "The theorem says that not all higher-degree equations have solutions which

As I read it, the WP article very nicely points out that exact roots are possible" "The theorem says that not all higher-degree equations have solutions which can be expressed by performing a finite number of operations... Some polynomials of arbitrary degree are indeed solvable with a finite number of such operations."