Groups and FieldsHardGalois Theory ShareGalois Theory · Hard problemIs x5−2x^5-2x5−2 solvable by radicals?ANo: no quintic is solvableBNo: its group is S5S_5S5COnly its real rootDYes: its roots are 25 ζ5k\sqrt[5]2\,\zeta_5^k52ζ5kCheck Show answer Walk through it step by step Practice more like this Review this concept