x = 702
y = -390
z = 858
[ http://www.wolframalpha.com/input/?i=(702%2F(-390%2B858))%2B...) ]
Found the above solution using a hillclimbing algorithm.
y = -390
z = 858
[ http://www.wolframalpha.com/input/?i=(702%2F(-390%2B858))%2B...) ]
Found the above solution using a hillclimbing algorithm.
> This solution is not easy to see by hand, but it’s also not hard to discover with some patience without all the machinery we are reviewing here. It’s the positive solutions that are the lair of dragons.
calc 2.12.4.1
> a=154476802108746166441951315019919837485664325669565431700026634898253202035277999
> b=36875131794129999827197811565225474825492979968971970996283137471637224634055579
> c=4373612677928697257861252602371390152816537558161613618621437993378423467772036
> a/(b+c) + b/(a+c) + c/(a+b) 4
> a/(b+c) ~3.74500615923925922050
> b/(a+c) ~0.23213745990937924275
> c/(a+b) ~0.02285638085136153676