I have been on an magnificent journey learning about the Tschirnhaus Transform and the Bring Radical. In summary, the transform takes any general 5th order polynomial:
##w^5 + A_ww^4 + B_ww^3 + C_ww^2 + D_ww + E_w##
into another polynomial of the form:
##x^5 + Dx + E##
The transform maps the...