Results 1 to 2 of 2

Math Help - help re-arranging a complex formula

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    1

    help re-arranging a complex formula

    Hi,
    I'm having some trouble rearranging the formula below in terms of t, i'm sure its much easier than I think but if would be great if i could be pointed in the right direction. Its been a while since I've had to do something like this so im quite rusty!



    I've got several equations like this which i wil need to arrange and im wondering if it can be done in Mathcad, which I have but im not familer with?


    any help much appreciated

    mark
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by markanswrth View Post
    Hi,
    I'm having some trouble rearranging the formula below in terms of t, i'm sure its much easier than I think but if would be great if i could be pointed in the right direction. Its been a while since I've had to do something like this so im quite rusty!



    I've got several equations like this which i wil need to arrange and im wondering if it can be done in Mathcad, which I have but im not familer with?


    any help much appreciated

    mark
    First of all you can cancellate t^4 with the t under s as there's a multiplication, and then we get:

    F=\frac{4E}{1-\mu^2}\cdot \frac{t^3}{K_1\cdot D_e^2}\cdot s\left[\left(\frac{h_0-s}{t}\right)\left(\frac{2h_0-s}{2t}\right)+1\right] =\frac{4E}{1-\mu^2}\cdot \frac{t^3}{K_1\cdot D_e^2}\cdot s\left[\frac{2h_0^2-3h_0s+s^2}{2t^2}+1\right]=

    \frac{4E}{1-\mu^2}\cdot \frac{t^3}{K_1\cdot D_e^2}\cdot s\left(\frac{2h_0^2-3h_0s+s^2+2t^2}{2t^2}\right)

    Now cancellate t^3 with the t^2 inside the parentheses, getting

    \frac{4E}{1-\mu^2}\cdot \frac{t}{K_1\cdot D_e^2}\cdot s\left(\frac{2h_0^2-3h_0s+s^2+2t^2}{2}\right)= \frac{4E}{1-\mu^2}\cdot \frac{t}{K_1\cdot D_e^2}\cdot \frac{s}{2}\left(2h_0^2-3h_0s+s^2+2t^2\right)[/tex]

    leaving now all what's attached to t in the right side and passing to the left one all the rest we get a cubic in t which, still, is pretty nasty, but at least closer to what you, perhaps, want.

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Re-arranging formula
    Posted in the Pre-Calculus Forum
    Replies: 8
    Last Post: January 13th 2011, 07:27 AM
  2. Complex Formula Proof
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 20th 2010, 04:52 AM
  3. Re-arranging formula
    Posted in the Algebra Forum
    Replies: 3
    Last Post: September 16th 2010, 07:05 AM
  4. Quadratic formula for complex roots
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 31st 2009, 12:04 PM
  5. Re-arranging formula question
    Posted in the Algebra Forum
    Replies: 4
    Last Post: September 18th 2008, 04:00 PM

Search Tags


/mathhelpforum @mathhelpforum