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!

How to separate x

  1. Feb 22, 2012 #1
    w=a*b*c^3*x*√(pie^2 * (i-x^2)^2 + 16 *x^2)/ 4*d^2 *(1-x^2)^2


    I have to find x ,i have the values of all other constants ,
    I tried to separate it using partial fraction but I am stuck.
     
  2. jcsd
  3. Feb 22, 2012 #2

    HallsofIvy

    User Avatar
    Science Advisor

    Tedious but,
    1) multiply both sides by that denominator:
    [tex]4wd^3(1- x^2)= abc^3x\sqrt{\pi^2(i- x^2)+ 16x^2}[/tex]

    2) get rid of that square root by squaring both sides:
    [tex]16w^2d^y(1- 2x^2+ x^4)= a^2b^2c^6x^2(\pi(I- x^2)+ 16x^2)[/tex]

    That is now a fourth degree polynomial- there is a general "formula" for solving such polynomial equations but it is very complicated.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook