solvable
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solvable
- /ˈsɒlvəbəl/ UK
- /ˈsɑlvəbəl/ US
Where it comes from
From solve + -able. Piecewise doublet of soluble.
More information
The mathematical senses derive from Galois theory: Galois discovered that one could determine whether a given polynomial could be solved by radicals by studying the properties of a particular group attached to a particular field extension deriving from the polynomial in question; if the group satisfies some conditions then polynomial can be solved by radicals. Any group meeting these conditions — whether or not it arises from this process — is thus called solvable, as is any field extension giving rise to such a group. The Lie-theoretic sense is by analogy, the study of Lie algebras deriving much of its terminology from group theory. In regular use by the late 19th century.
adjective solvible
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Capable of being solved.
a solvable problem
Similar: soluble · Opposite: unsolvable, insolvable, insoluble
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Having terminating derived series; see Solvable group on Wikipedia.Wikipedia
Similar: soluble · Opposite: unsolvable, insolvable, insoluble
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Having a Galois group which is solvable.
Similar: soluble · Opposite: unsolvable, insolvable, insoluble
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Having terminating derived series (this is a distinct notion from the derived series of a group); see Solvable Lie algebra on Wikipedia.Wikipedia
Similar: soluble · Opposite: unsolvable, insolvable, insoluble
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Such that the set of inputs for which the answer is yes is recursively enumerable.
Similar: soluble · Opposite: unsolvable, insolvable, insoluble
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Capable of being dissolved or liquefied.
1664, John Chandler (translator), Van Helmont’s Works, London: Lodowick Lloyd, A Treatise of Fevers, Chapter 8, p. 971,
[…] they administer Pearles, and Corrals being beaten to dust or dissolved in distilled vinegar, or the juice of limons, and again dryed, and solvable in any potable liquour:
Similar: soluble · Opposite: unsolvable, insolvable, insoluble
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Able to pay one's debts.
[…] although imprisonment was imposed by law on persons not solvable, yet officers were unwilling to cast them into goale,
Similar: solvent
- Capable of being paid and discharged. solvable obligations
Translations
Talk about this word "solvable." Wiktionary, via Micwyn, micwyn.com/word/solvable. Accessed 6 Nov. 2026. solvable. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/solvable "solvable." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/solvable.Cite this
@misc{solvable_2026,
title = {solvable},
howpublished = {Wiktionary, via Micwyn},
year = {2026},
url = {https://micwyn.com/word/solvable},
urldate = {2026-11-06}
}
