Galois Group Math Escalation

Hey guys! How do I solve 3x^2 - x = 8 ? Good question! To start, consider the field extension obtained by adjoining the roots of your polynomial to the base field. Can you say anything about the group of automorphisms that fix Q? What he said, the automorphisms in the Galois group give permutations that preserve any algebraic equation relating your roots Absolutely right! You just need to check if the derived series of the Galois group terminates in the trivial group. If you know this, the answer is there!

A four-panel escalation shows increasingly muscular people solving a simple quadratic equation with progressively more advanced algebra, ending with Galois theory. The joke is that a basic homework problem is answered with absurdly sophisticated mathematics, turning an easy calculation into an intimidating abstract-algebra discussion. EN: A four-panel escalation shows increasingly muscular people solving a simple quadratic equation with progressively more advanced algebra, ending with Galois theory. The joke is that a basic homework problem is answered with absurdly sophisticated mathematics, turning an easy calculation into an intimidating abstract-algebra discussion.

• @ithueti / 10964 2023-11-21