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/sci/ - Science & Math

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2475481 No.2475481 [Reply] [Original]

ok /sci/, i know the cubic formula really well and i know how to correctly derive it, but i was wondering, does anyone here know how to derive the Quartic Formula in terms of the coefficients to solve for the roots?

>> No.2475499

Bump for interest

>> No.2475510

why bother?

>> No.2475520

http://myyn.org/m/article/ferrari-cardano-derivation-of-the-quartic-formula/ any help?

>> No.2475560

bumpp

>> No.2475647

>>2475520
it doesnt have an "e" term, so
ax^4+bx^3+cx^2+dx+e

>> No.2475662

>>2475481
It's beautiful.

>> No.2475683

>>2475662

no, it's clunky and stupid. Newton's method of finding roots is much quicker, it can be used on polynomials of any degree (and all other functions with zeros) and it's an elegant approach.

>> No.2475767

>>2475683
this

>> No.2475771

>>2475683
why isnt it beautiful?
cud someone briefly explain the concept of newtons method?