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There are times when you would use one over the other. Solve / fix a problem have the same meaning. I think we use 'fix' more for.
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Solved is the adjective version of the verb to solve, so you would need to connect them with is的同义词 In the problem is solved, solved is an adjective describing. I solved the problem.normally, we don't say 'settle a problem', but we can say 'settle an issue'.
Solvethey mean about the same thing, but solve is proper english, and figure out is slang.
What's the difference between 'resolve' and 'solve'? I don't know if i've heard anyone say the problem has solved but it would mean that the problem solved on it's own. Resolvesometimes people use the words resolve and solve to mean the same thing, which is finding an answer to a problem. Solved the question has been solved;
Or maybe it could be taking emphasis off of a person solving it. They mean the same thing, problem to be solved is just slightly more formal and problem to solve is just slightly more casual. The problem has been solved is the present perfect tense in the passive voice (it has been solved by someone). However, there is a subtle difference between the two.
The problem remains unsolvedi agree with @aflo1 that the meanings are similar and that remains to be solved is slightly awkward if only because it could be misinterpreted to mean.