Isolate x in this following function f(x)= ( Variable isolation problem)

[polosportply]

x²= 61250 e^-427t - 61250 cos (2tan ( 25t + 0,0004t²x²))

Isolate, find x²

This is a hard one, not a homework question, it's for a project, but if mods feel it like homework, feel free.

Thanks in adavnce, I have no idea whatsoever what to do.

 

[Werg22]

It can't be done. For a given value of t, you can try numerical methods (such as Newton's method) on the equation

0 = 61250 e^-427t - 61250 cos (2tan ( 25t + 0,0004t²x²)) - x²

to find an approximate value for x.