j=3 was discovered by Scipione Dal Ferro (1520s) and then independently by Niccolò Tartaglia (1535). The latter revealed the solution to Cardano under oath, and he and Ferrari then succeeded to generalize the idea to solve quartic equations, too.
-
-
-
Furthermore, Ferrari's quartic formula is based on the reduction to a cubic equation, hence could not have been known before the cubic
End of conversation
New conversation -
-
-
j≥5 Machine learning
-
Keep memeing
End of conversation
New conversation -
-
-
quartic formula was discovered before cubic formula?
- End of conversation
New conversation -
-
-
Some sixth degree equations, such as ax⁶ + dx³ + g = 0, can be solved by factorizing into radicals, but other sextics cannot. Évariste Galois developed techniques for determining whether a given equation could be solved by radicals which gave rise to the field of Galois theory.
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
Don’t forget Evariste Galois’ work
-
Had Galois got a better night’s sleep, maybe he would have won the duel.
End of conversation
New conversation -
-
-
j=2 is wrong. The Babylonians (c. 1900 - 1500 BCE) had an algorithm to solve quadratic equations. J=3 is wrong. Omar Khayyam developed a geometric method to solve cubic equations. del Ferro and Tartaglia discovered the cubic solution formula before Cardano.
-
He just cited, he never said who did it first.
- 5 more replies
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.