Finding a length of a cable, in static equilibrium

[shemer77]

Homework Statement

Find H as a function of L and X

Homework Equations

http://imageshack.us/photo/my-images/28/project1questoin.png/
http://imageshack.us/photo/my-images/28/project1questoin.png/

The Attempt at a Solution

my answer came out to a ridiculous solution and I am not really sure if it is right

H=sqrt((L*sqrt(4x^2+40x-L^2-200) + 20 *(x-5))/(2)).

 

[shemer77]

edit: because I am a fail using the equation editor, here's it drawn out
[URL]http://gyazo.com/6027ca6993d36fa069065526e422e284[/URL]
http://gyazo.com/6027ca6993d36fa069065526e422e284