SevenCubed - 3:54 pm on Sep 17, 2012 (gmt 0)
I too prefer results when I see the word "solved" in the description. I can't say for sure about that word in particular but I've noticed when I prefix the word "defined" or "definition" to a paragraph (or even add it to meta description or title tags, H2, H3), it gets boosted in SERPs above others. I suspect that there are some very descriptive words that trigger algorithm happy dances indicating it has found the absolute answer to the query and therefor boosts it up in ranking as being the best possibility.
It's one of the very top level website optimization techniques I use consistently in copy writing for the web. It wouldn't surprise me if there are a select group of words programmed into algorithms that are strong signals of authority. If there is such a list, "solved" would definitely be one of them.
Searchers are on a question and answer mission so be conscious of not only the answers but also the words that are "pointers of authority" such as "solved". There are hundreds of very small nuances in website optimization, that once combined, have tremendous influence on gaining top ranking.