One of the questions that I had asked earlier, here on MSE (added at the end of this post), failed to get an appropriate response but a few days later one of my friends whom I consulted later forwarded me a YouTube link (on Telegram - a messaging app). That YouTube link solved my problem. Would it be alright then to answer the question myself and in that answer I simply paste the link to that video after saying "Hope this solves your problem".
Also, in my opinion, it won't be possible/wise to explain what's explained in the video by typing it out the same on MSE as:
- Video is around 20 mins long and introduces and explains a lot of new concepts.
- Typing out the final result will be of no interest to the OP, or to someone who checks that post later, as some explanation/background is required/needed.
- In case of some other video which even if doesn't explain/introduces new topics/concepts, but has a very long solution which rather be not typed (again).
Note: One argument may come that simply mark such a question as under-researched, but that won't be right as the OP has already tried it and could not find the answer anywhere (thus, MSE) but the friend was able to find one because he had talent [:-)].
Q: Finding the number of integral solutions of the equation: $x^2+y^2=265^2$ using linear equations or the properties of the "primitive" Pythagorean triplets?
A: Hope this solves your problem.