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

  • #1
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
 

Answers and Replies

  • #2
34,672
10,809
Not in a closed form. There might be some way with infinite fractions or similar approaches.
 
  • #3
mathman
Science Advisor
7,858
446
Only if ##b\le 4##.
 
  • #4
34,672
10,809
... and ##b \geq -2## and an integer.

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

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