Results 1 to 6 of 6

Math Help - Make e the subject of the formula

  1. #1
    Senior Member
    Joined
    Apr 2006
    Posts
    290

    Make e the subject of the formula

    I need to make e the subject of the formula

    T = n(1+e) / (1-e)

    Forgot how to do these complicated ones
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by Natasha1 View Post
    I need to make e the subject of the formula

    T = n(1+e) / (1-e)

    Forgot how to do these complicated ones
    1. Multiply both sides of the equation by (1 - e)

    2. Expand the brackets on both sides.

    3. Collect all terms containing e at the LHS of the equation, all others at the RHS:

    -T \cdot e - n \cdot e = n - T

    4. Factor out e at the LHS.

    5. Divide both sides of the equation by -( T + n)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Apr 2006
    Posts
    290
    On point 4 you get e (- n - T) = n - T don't you?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member
    Joined
    Apr 2006
    Posts
    290
    Oh so e = - 1 is this correct?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by Natasha1 View Post
    Oh so e = - 1 is this correct?
    Unfortunately no.

    -T \cdot e - n \cdot e = n - T~\implies~e(-T-n)=n-T

    Now divide:

    e = \dfrac{n-T}{-T-n} = \dfrac{-(T-n)}{-(T+n)} = \dfrac{T-n}{T+n}
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Senior Member
    Joined
    Apr 2006
    Posts
    290
    Thanks
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How do I make R2 the subject of this formula?
    Posted in the Algebra Forum
    Replies: 3
    Last Post: March 22nd 2011, 02:20 PM
  2. Make h the subject of the formula
    Posted in the Algebra Forum
    Replies: 1
    Last Post: June 1st 2010, 05:33 AM
  3. Replies: 2
    Last Post: September 7th 2009, 08:54 AM
  4. Make Y the subject of the formula
    Posted in the Algebra Forum
    Replies: 15
    Last Post: June 20th 2009, 09:37 PM
  5. Make x the subject of the formula (:-[)
    Posted in the Algebra Forum
    Replies: 1
    Last Post: June 24th 2008, 06:06 AM

Search Tags


/mathhelpforum @mathhelpforum