Stranded in this Spooky Town - Solution by Radicals: Solutions to the general equations  ax+b=0  ax^2+bx+c=0  ax^3+bx^2+cx+d=0  ax^4+bx^3+cx^2+dx+e=0  can be expressed through radicals.  There does not exist a general solution by radicals for equations of degree 5 or more - a fact that can be proved using Galois Theory and the fact that Sn is not solvable for n greater than or equal to 5.

Stranded in this Spooky Town - Solution by Radicals: Solutions to the general equations ax+b=0 ax^2+bx+c=0 ax^3+bx^2+cx+d=0 ax^4+bx^3+cx^2+dx+e=0 can be expressed through radicals. There does not exist a general solution by radicals for equations of degree 5 or more - a fact that can be proved using Galois Theory and the fact that Sn is not solvable for n greater than or equal to 5.

Fundamental theorem of Galois theory - Wikipedia, the free encyclopedia

Fundamental theorem of Galois theory - Wikipedia, the free encyclopedia

algebraic equation solver flowchart online  galois theory - reducing depressed quartic to cubic polynomial - Mathematics Stack Exchange

algebraic equation solver flowchart online galois theory - reducing depressed quartic to cubic polynomial - Mathematics Stack Exchange

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