2 Neat Equations

(k+1) (k^4 -1) / (k-1) (k^4 +1) = 2

Know the solution to this in trial-and-error fashion.

This is a piece of a much larger puzzle, where I have been able to connect 9 famous physical constants using my physics (and leveraging what others have also discovered so far) and which also bridges QM, CP and GR - and does not break any experiment except reinterprets one experiment. But I am still trying to connect all the dots.

Only 1 person I know who may have understood the above and below equation but he is dead.

(k+1) (k^5 -1) / (k-1) (k^5 +1) = 3

Do not know the solution of this.