Active VS Passive speakers and, specifically, Elac Navis ARB51 as the active speaker?

Sorry for the incompleteness of the question.  I listen to jazz, rock, country.  I want to have speakers in multiple rooms: workout room, tv room, living room, bedroom, maybe even one on the patio.  listening is more passive than active.  I know I won't have great sound with this budget, but I would like to get good quality sound given the limited budget and desire to have music in multiple places.

For your broad requirements, I'd use a combination. Actives for the room you want the best SQ and passives on a switch for other rooms. Understand if you get an active speaker you won't be able to choose the amps or route the amplifier signal to other passive speakers.

As I hear them the Elac sounds best (dual concentric design)
and  it can be had as a passive in the newer reference uni model
for $1.1k as I recall.

Thanks to all who responded.  Your comments have been most helpful.  The research continues with special emphasis on the Elac.
Ron