1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Solve x^4

  1. Apr 8, 2003 #1
    how to solve the x from x^4+x^3.....=...??
    i mean from the equation for x power of 4
    like the x^2-2x+1=0
    the solve are x=1,x=1
     
  2. jcsd
  3. Apr 8, 2003 #2
    substitution

    eg. x^4 + x^2 = 0
    now y=x^2
    --> y^2 + y = 0

    you can solve this for y (= x^2)
     
  4. Apr 8, 2003 #3
    the full solution of the quartic equation is fairly long. so rather than retyping a lot of calculations, i will link you to a solution here
     
  5. Apr 8, 2003 #4
    Cutely, it's provable that you can't find a general solution (using addition/subtraction, multiplation/division, and roots) for polynomials in any order higher than quartic. The proof uses the same technique (Galois theory, loosely) as the geometric nom-constructibility proofs for things like trisecting an angle.
     
  6. Apr 8, 2003 #5
    How effective is the p/q method for finding roots of quartics or higher order polynomials? Remind me how it works for a simple example.
     
  7. Apr 9, 2003 #6
    what is the p/q method?

    the quartic solution is 100%. it is guaranteed to give you four exact analytic roots to your quartic.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Solve x^4
  1. Prove that -4 x -4 = 16 (Replies: 24)

  2. Solve x^x=x (Replies: 7)

  3. Solving for X (Replies: 2)

Loading...