This is the 3354th most frequent French word.
étudié
Studied.
In this sentence, "étudié" is used as the past participle of "étudier," indicating an action performed by the subject in the past—specifically, the act of studying academic subjects.
Il a étudié les sciences à l'université.
He studied sciences at the university.
Here, "étudié" serves as an adjective describing the quality of the reasoning—implying it has been considered or explored thoroughly.
Ce raisonnement est bien étudié et logique.
This reasoning is well thought out and logical.
In this context, "étudié" functions as a past participle used in a passive construction, indicating the solution has been the object of study by someone else (the researchers).