Hi, well, I tried deriving the cubic formula using solving the cube method but the cx and bx^2 seems to be a nuisance.
Ice Sync
If you are serious about this, try Cardano's method.
-Dan
Yeah well, I saw read that article before I posted it,
anyways I did derive a formula by "completing the cube" method, just took 5 minutes, sadly it only works for perfect cubes or cubic equations with one root.
It is $\displaystyle [-b+ CUBEROOT(-27a^2d+b^3)]/3a$
-27a^2d+b^3 is the discriminant, funny part is, the discriminant is always 0 so the actual formula is -b/3a.
Ice SYnc
Cubic function - Wikipedia, the free encyclopedia
That is the general case....that would be nearly impossible to solve for...Wow
just one root generally would be x=---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- that long basically
Well, no "n-thics" can yield a formula in terms of its coefficients for n > 4 by Abels Impossibility theorem. Try this link Abel's Impossibility Theorem -- from Wolfram MathWorld