indefinite solution
[ɪnˈdɛfɪnət səˈluːʃən]
nounpl: indefinite solutions
solução indefinida
1. In mathematics, a solution to a system of equations where infinitely many solutions exist, typically occurring when equations are dependent or represent the same geometric object
The system of linear equations has an indefinite solution because both equations represent the same line.
O sistema de equações lineares tem uma solução indefinida porque ambas as equações representam a mesma reta.
2. A situation where multiple valid answers or resolutions exist without a single definitive outcome
The problem presented an indefinite solution, leaving room for various interpretations.
O problema apresentou uma solução indefinida, deixando espaço para várias interpretações.
This is primarily a mathematical and technical term used in educational contexts in both Brazil and the United States. In Brazil, it is taught in high school algebra and university-level linear algebra courses. The term is precise and formal, with no colloquial variations.
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