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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

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    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.
     
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