resenje

Resenje is a term used in several South Slavic languages to denote a solution, a resolution, an answer, or a decision. In mathematics and logic, it refers to the value or set of values that satisfy an equation or proposition. In law and administration, it denotes an official ruling or decision issued by a court or authority. In everyday speech it can mean the answer to a problem or a plan of action.

Etymology: the noun derives from the verb resiti or resiti/rešiti, meaning to solve or to settle, with the suffix -enje forming nouns that indicate the act or result. In ASCII texts the form resenje is common, while standardized orthographies yield rešenje or rješenje in related languages. The term has cognates across Croatian, Bosnian, Serbian, and Slovenian, reflecting common Slavic roots around solving and deciding.

Usage: In mathematics, a resenje of an equation is its solution; for example, the equation x^2 - 5x + 6 = 0 has solutions x = 2 and x = 3. In law, sudsko rešenje or pravno rešenje refers to the court’s decision. In everyday language, one might ask for the rešenje of a problem, meaning the answer or method that resolves the issue.

Notes: Orthography and dialectal variation affect the exact form, with diphthongized or caron-bearing spellings used in different languages. The term is closely related to but distinct from words meaning “resolution” in other languages, reflecting its dual sense as both a mathematical solution and a formal decision.