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Mathematics - Abstract Algebra - Galois theory - Why Some Equations Can't Be Solved
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Mathematics - Abstract Algebra - Galois theory - Why Some Equations Can't Be Solved
vivmagarwalJan 29, 2026
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12 steps: (1) Quadratic formula solves all degree-2 polynomials. Cubic and quartic formulas exist too (complex!). (2) QUESTION: Is there a formula for degree 5 and above? (3) Abel-Ruffini theorem: NO general formula using radicals for degree ≥5! (4) GALOIS' insight: connect solvability to GROUP SYMM
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MathematicsAbstract Algebra
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