-224.79696475168280874 and meaning ?

I'm curious!

Do these functions have actual applications?  Or are we just playing?

Mathcad is saying that your equation has a root (E(x) =0) at the number given (-221.____)

As demonstrated in the other thread (https://community.ptc.com/t5/PTC-Mathcad/solve-x-fully/td-p/578709) the two first terms ( e^x and -(1/e^(i*x))^i ) cancel out. You're left with (e^pi)*cot(x).

That should give repeated roots at pi/2 +n*pi.

Success!
Luc

Keep in mind that with E(x) you are not just defining one single curve but rather a family E(x,k) of an infinite number of curves. One of them (k=36) has one root at the given -224,79..

For more details see here: https://community.ptc.com/t5/PTC-Mathcad/solve-x-fully/m-p/578762/highlight/true#M183096

Whenever the symbolics switches to float mode its not capable to give you all roots any more. Similar to numerical solve methods but with the difference that the numerics will respect any guess values or ranges ("root" function) while the symbolics usually will ignore any assume statement in this case.

Hi liv107,

you could have fun reading this "novel" so you will take away many doubts and expand your maths knowledge ...... even if I am sure that you already know tthese topics ....