solvable

C2 Topic:Describing People

US /ˈsɑlvəbəl/ UK /ˈsɒlvəbəl/ See IPA manual

Freq #92668

Meanings

1

adj
capable of being solved

Such problems are perfectly solvable.

Thesaurus

Synonyms

1 adj · capable of being solved resolvable

More decidable

Word family

Forms insolvableunsolvable

Derived forms insolvablenonsolvablesolvablenesssolvmanifoldsupersolvableunsolvable

Related forms solvability

Etymology

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-...

*lewh₁- Proto-Indo-European

View etymology graph ->

Topics

Describing People Word Formation & Derivatives

External links

# solvable

**Type:** Word
**Level:** C2
**Part of speech:** adj
**IPA (US):** /ˈsɑlvəbəl/
**IPA (UK):** /ˈsɒlvəbəl/
**Frequency rank:** 92668

## Meanings
1. capable of being solved

## Examples
- Such problems are perfectly solvable.

## Synonyms
- resolvable
- decidable

## Derived Forms
- insolvable
- nonsolvable
- solvableness
- solvmanifold
- supersolvable
- unsolvable

## Related Forms
- solvability

## Roots and Affixes
- Root: *lewh₁-

## Etymology
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-...

## Topics
- Describing People
- Word Formation & Derivatives

markdown