Learn Swedish: Är den tårögda finalisten fullkomligt utslagen? - Is the teary-eyed finalist absolutely knocked out?

Utslagen (eliminated/knocked out) is a non-gradable adjective—you can't be "very" eliminated; you either are or you aren't. For binary states like this, Swedish uses absolute degree modifiers like fullkomligt (absolutely/completely) or helt (completely) instead of relative ones like väldigt (very).

How is the word tårögda formed?

It translates to "teary-eyed" and is a compound built from tår (tear) and the adjective ögd (eyed, which comes from öga, eye). It ends in -a here because it is modifying a definite noun.

Why do we have both den and the -en ending on finalisten?

This is a quick refresher on Swedish "double definiteness". When you add an adjective (tårögda) to a definite noun (finalisten), you must also add the independent definite article (den) in front of the adjective.

Does utslagen always mean "knocked out" like in a fight?

It comes from the phrasal verb slå ut (to knock out). In the context of a competition or TV show, it means "eliminated". However, utslagen can also be used to describe a flower that is in full bloom, or a person who is completely incapacitated by illness or exhaustion.