résolvons

Résolvons is a French verb form that serves as the first-person plural present indicative of the verb résoudre, meaning "we solve." It is also used as an inclusive imperative for encouraging joint action, as in "Résolvons!" (Let us solve). In mathematical or problem-solving contexts, the phrase is common to invite collaboration.

Origin and form: The verb résoudre comes from Latin resolvere, formed from re- "again" or back, and solvere "to loosen, to release." In present tense, the nous form is résolvons, following the regular -re verb pattern for the first-person plural. The form appears in educational texts, problem sets, and instructional language to foster a sense of shared effort.

Usage and nuance: In everyday French, résolvons is most often encountered in instructional or participatory contexts rather than in casual speech. It appears in textbooks, classroom dialogue, puzzle prompts, and collaborative tasks to motivate a group to work through a problem step by step.

Pronunciation and spelling: Résolvons is written with a final silent s and is pronounced roughly as [ʁe.zɔ.lvɔ̃], with the nasal vowel in the final syllable. The accent on the é in résolvons guides pronunciation of the initial syllable.

Examples: Résolvons ce système d'équations ensemble. Résolvons ce problème étape par étape. Pour ce puzzle, résolvons d'abord les contraintes.