Cosh(x) = x*Sinh(x) is solvable analytically, by algebraic manipulation.
If it is, can anyone provide, hints or pointers as to how to go about it?
Thanks in advance.
that's a transcendental equation. the exact value of the root(s) cannot be found. but you can approximate them using numerical methods or just the silly intermediate value theorem!
anyway, make sure you have a good calculator with you!