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System cannot be solved by Solve?

Joerg Kalbfuss
Posted 1 year ago 
p[q_] := q^-\[Delta];
    Solve[q + (p[q] - \[Tau])/p'[q] == 0 && 
    1 > \[Delta] > 0 && \[Tau] > 0 && q > 0, q]

The solution I expect is 

q = ((1 - \[Delta])/\[Tau])^(1/\[Delta])

However, I just get "This system cannot be solved with the methods available to Solve". Any ideas why? Thanks.
POSTED BY: Joerg Kalbfuss
3 Replies
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Try:

  p[q_] := q^-\[Delta];
  Solve[q + (p[q] - \[Tau])/p'[q] == 0, q]

  (*{{q -> 0}, {q -> (-((-1 + \[Delta])/\[Tau]))^(1/\[Delta])}}*)

Solved on Mathematica 13.2.0.
POSTED BY: Mariusz Iwaniuk

Thanks for the reply; same error message here. I'm absolutely clueless why that is.
POSTED BY: Joerg Kalbfuss

This is a warnings message not errors .

Is about:

1.This message is generated when Solve and related functions use inverse functions to represent a solution.

2.Inverse functions normally give one branch of a general inverse, so equations that are solved in terms of inverse functions may omit solutions associated with other branches.
POSTED BY: Mariusz Iwaniuk
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