3 ms·
x = 702 y = -390 z = 858 [ http://www.wolframalpha.com/input/?i=(702%2F(-390%2B858))%2B(-390%2F(702%2B858))%2B(858%2F(702%2B-390) http://www.wolframalpha.com
by chegra 9y ago
x = 702
y = -390
z = 858
[ http://www.wolframalpha.com/input/?i=(702%2F(-390%2B858))%2B(-390%2F(702%2B858))%2B(858%2F(702%2B-390) http://www.wolframalpha.com/input/?i=(702%2F(-390%2B858))%2B...) ]
Found the above solution using a hillclimbing algorithm.
http://codepad.org/PixRUl0N http://codepad.org/PixRUl0N
- Ended 9y agoThe question asks for positive solutions, which turns out to be a bit harder!
- chegra 9y agoSorry...I was only going off of the title of the thread.
- sweezyjeezy 9y agoThey need to all be positive. FTA (on the solution x = 4, y = -1, y = 11) : > 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.
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- hazeii 9y ago~$ calc 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