解
か
い
Meanings
1
Mathematical term: the value(s) that satisfy an equation or inequality. 解 is used for solutions of equations, while 根 is more common for roots of polynomials.
Find the solution to this equation.
2
General term for the answer or resolution to a problem, puzzle, or question. Often used in contexts like 問題の解 (solution to a problem).
The solution to that problem has not been found yet.
3
Refers to an explanatory account or interpretation, often of a text, concept, or situation. Less common than 説明 in everyday speech; more formal or academic.
I looked up the explanation of this word in the dictionary.
Usage patterns
- 〈物〉の解を求めるto find the solution of (an equation)
Find the solution of this equation.
- 解が存在するa solution exists
This inequality has no solution.
- 〈事〉の解を導くto derive a solution to (a problem)
The team worked out a solution to the problem.