i'm a math tutor who usually only lurks and i made an account just to say fuck you and well played to whoever made this
this is a Diophantine equation, which just means you're only allowed integers to solve it, and there's a whole branch of math devoted to theorizing about these guys and finding nice tasty ones. this one in particular is an ASSHOLE though, not sure it's possible to solve without a computer tbh
https://en.wikipedia.org/wiki/Diophantine_equation
yeah no way haha, correct answers are probably many many digits long. having integers only really limits you in fun ways. like you can graph this in 3 dimensions and just pick a point that's an answer, but you'll be looking for a point with ONLY integer values for x, y, and z for a LONG time
I think for this specific one the solution is like 10^6 digits long or something ungodly like that
Damn, thanks for saving me the effort of doing this on paper.
Yeah if you ever see one of these, assume a bored math major did it, and chances are the problem is either difficult, provably impossible, or currently unsolved.
FUCK it totally worked ok folks ask me about your math homework and i will help you because communism
lmao, so for once it's actually overestimating the number of people who can solve it
after some rough calcs in my head, i think these should work
🍎 = 4373612677928697257861252602371390152816537558161613618621437993378423467772036
🍌 = 36875131794129999827197811565225474825492979968971970996283137471637224634055579
🍍 = 154476802108746166441951315019919837485664325669565431700026634898253202035277999
BORN TO DIE
WORLD IS A FUCK
Kill Em All 1989
I am trash man
🍎 DEAD COPS
Can you find positive whole values for 🍎,🍌,and🍍?
I definitely can't! Thanks for asking.
Thanks for checking in ~I'm still a piece of garbage~
yeah, the post made me think of it
https://www.youtube.com/watch?v=FZUcpVmEHuk
here is another fun one
🍌^3 + 🍎^3 = 🍍^3
where 🍌🍎🍍 are positive integers
I have found a marvelous solution for this problem, but this comment box is too small to write it.
Okay I will. spends seven years proving it like a boss here you go
another fun math fact for those interested, this is famously impossible. at least OP has a solution haha
Not a conjecture, the n=3 case seen above was proven by the big dog himself, Leonhard Euler, and the general case was famously proven in 1995
Sure I can! 3, 5, and 9. There's a trick to this question I figured out.
spoiler
It didn't say I had to find the right positive whole values
Beautiful proof.
spoiler
Any number below 1000 fails, there are imaginary solutions that are to find with quite a bit of footwork, though.
Total idiots: Okay what if the apple was 1, banana was 2, pineapple was 3... no... :rust-darkness:
Geniuses: Oh, let's see here... we'll just take 3/4ths and... wait what if I... okay hold on... what?? :rust-darkness: my god this is a fucking diophantine equation! I wasted 2 hours on this! And I only got 3.99989891929! Sonofabitch!
Me: Division in one of these fucking things? That's probably a sonofabitch :gigachad-hd:
An apple is aesthetically pleasing, it takes as much to create an apple as a quarter of linen.
For a banana you are looking at thrice that, the pineapple five times that. That means you can convert the fruits into their exchange value X and can solve for X.
lmao I got nerdsniped for about 10 minutes before I read the comments here. NGL this (and it's n-variable generalization) would make a fun project-euler problem.
Way too hungover for this. It hurts just looking at it lol
