Can x be found for ax^b - x^(b-2) = c in the general form?

[Superposed_Cat]

I have an long equation I managed to simplify to that form, but now I haven't the foggiest on how to solve for x, any help appreciated

 

[mfb]

Not in a closed form. There might be some way with infinite fractions or similar approaches.

 

[mathman]

Only if $b\le 4$.

 

[mfb]

... and $b \geq -2$ and an integer.

Or c=0 or a=0, but none of these special cases help with the general problem.