Last year, I asked my physics professor a question that he did not know the answer to. This year, while doing a research paper, I also figured out the answer to the question I asked him. I want to send an email to my professor explaining the answer I found simply because he's a curious guy.
Typically, if I asked something that the professor didn't know, I'd email them a few days later saying:
Hi Dr. Professor, after some reading, I figured out the answer to why so-and-so happens. Here's what I learned.
But since it's been so long, he definitely doesn't remember what I asked him. So I'd like to remind him what my question was. However, writing:
"Hi Dr. Professor, last year I asked you a question that you did not know the answer to, and this year, I figured it out. Here's what the question was, and here's what I learned"
sounds a bit insulting to me, because I'm writing that he didn't know the answer. What is a good way to share an answer with a professor without being "insulting"? Am I just overthinking this?