Results 1 to 2 of 2

Math Help - Hyperbolics

  1. #1
    Super Member
    Joined
    Sep 2007
    Posts
    528
    Awards
    1

    Hyperbolics

    Q: 10 \mathrm{cosh} x + 2 \mathrm{sinh} x = 11

    Thanks in advance!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Air View Post
    Q: 10 \mathrm{cosh} x + 2 \mathrm{sinh} x = 11

    Thanks in advance!
    5 (e^x + e^{-x}) + (e^x - e^{-x}) = 11

    \Rightarrow 6 e^x + 4 e^{-x} = 11

    \Rightarrow 6 (e^x)^2 + 4 = 11 e^x

    \Rightarrow 6 (e^x)^2 - 11 e^x + 4 = 0

    Substitute u = e^x:

    6 u^2 - 11u + 4 = 0.

    Solve for u and equate the solutions to e^x. Solve for x.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: March 19th 2010, 03:48 PM
  2. hyperbolics!
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 6th 2010, 02:19 AM
  3. Hyperbolics
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 11th 2009, 02:34 PM
  4. hyperbolics
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: September 6th 2009, 04:02 AM
  5. can't integrate powers of hyperbolics
    Posted in the Calculus Forum
    Replies: 5
    Last Post: August 9th 2007, 05:38 AM

Search Tags


/mathhelpforum @mathhelpforum