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How do you find integer solutions to x/(y + z) + y/(x + z) + z/(x + y) = 4?
- yorwba 9y agoPrevious discussion (with non-mangled title): https://news.ycombinator.com/item?id=14943528 https://news.ycombinator.com/item?id=14943528
- drfuchs 9y agoAgain, "and" should be "+" two more times in the title.
- twoodfin 9y agoYes. Became very confused attempting to solve for all three fractions = 4.
- inverse_pi 9y agoperhaps one should link to this thread instead https://mathoverflow.net/questions/227713/estimating-the-size-of-solutions-of-a-diophantine-equation/227722 https://mathoverflow.net/questions/227713/estimating-the-siz... ? When it comes to Math, the quality of discussion on Quora is usually much lower comparing to on Mathoverflow or artsofproblemsolving
- mlechha 9y agoWell it depends on what you mean by quality. On Quora the discussion is meant for the general public, and terms like diophantine equations are defined in common language before delving into their mathematical details. While mathoverflow is for mathematicians, for a layman it's mostly gibberish. So imho it's unfair to even compare the two, they're different things and both have their place.
- tptacek 9y agoThe Quora post is _much_ better written than this Math Overflow thread.