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Another lovely aspect to this problem is that the quintic _is_ solvable if you allow yourself to use certain special functions naturally associated to the icosa
by ocfnash 9y ago
Another lovely aspect to this problem is that the quintic _is_ solvable if you allow yourself to use certain special functions naturally associated to the icosahedron.
The genesis of the relationship is that the group of rotations of the icosahedron is the same group, A_5.
- lightedman 9y agoIt's solvable in many other ways. There's no rule in algebra that states each individual variable must be a different number. Thus, every variable = 0 then the equation is solved.
- openasocket 9y agoNo that wouldn't work. Consider the equation x^5 + 1 = 0. Clearly that isn't solvable by x=0.
- jacksnipe 9y agoThat's not a "solution" in the algebraic sense that we're talking about.