gelösten

Gelösten is the inflected form of the German adjective or past participle gelöst, meaning “solved” or “dissolved.” It is not a stand-alone noun but a grammatical form that appears in phrases describing something that has been resolved or dissolved. The form gelösten appears after definite articles or other determiners that indicate case, gender, and number, and it is most common in plural or in certain singular cases.

In everyday usage, gelöst is used to describe problems, questions, or substances that have been addressed or transformed. For example, die gelösten Aufgaben (the solved tasks) and das gelöste Problem (the solved problem) show the adjectival form in singular; die gelösten Aufgaben demonstrates the plural nominative or accusative, while den gelösten Aufgaben illustrates the plural dative. The feminine singular form is die gelöste Lösung (the solved solution). These forms reflect German adjective declension after a definite determiner.

In technical contexts, gelöst may describe chemical dissolution, as in gelöste Substanzen (dissolved substances) or gelöste Kristalle (dissolved crystals), where the sense is “in solution” rather than “solved” in a problem-solving sense. The meaning relies on context: in mathematics or problem-solving, gelöst conveys resolution; in chemistry, it conveys dissolution.

Etymology traces gelösten to lösen, with gelöst as the past participle; gelösten is simply one inflected form used with definite articles and certain case/gender combinations. The form is common in German prose and technical writing, while the uninflected form gelöst appears more often in predicate or bare adjective positions.