Equations at the third and more.

  • Thread starter Hepic
  • Start date
  • #1
118
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Equations that have x^3 or x^4 etc...,are solved with method of Horner.
There is quicker way to solve an equation like that? (except factorization).

Thank you a lot!!!

(Sorry for my english)
 

Answers and Replies

  • #2
77
9
Well, there's a general formula for solving cubic and quartic equations. However, Abel's impossibility theorem states that there cannot be explicit algebraic formulas for the general solutions to degree 5 and higher polynomials.

But some techniques can help you solve such equations...

For example, this page discuss the solvability of quintic equations: http://library.wolfram.com/examples/quintic/
 

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