• math_tutor_throwaway [any]
    ·
    2 years ago

    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

      • math_tutor_throwaway [any]
        ·
        2 years ago

        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

        • invalidusernamelol [he/him]
          ·
          edit-2
          2 years ago

          I think for this specific one the solution is like 10^6 digits long or something ungodly like that

      • hexaflexagonbear [he/him]
        ·
        2 years ago

        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.

    • buh [she/her]
      ·
      2 years ago

      This was all a ruse to force you specifically to make an account :troll:

      • math_tutor_throwaway [any]
        ·
        2 years ago

        FUCK it totally worked ok folks ask me about your math homework and i will help you because communism

    • booty [he/him]
      ·
      2 years ago

      lmao, so for once it's actually overestimating the number of people who can solve it

  • wearysun [they/them]
    ·
    edit-2
    2 years ago

    after some rough calcs in my head, i think these should work

    🍎 = 437361267792869725786125260237139015281653755816161361862143‌​7993378423467772036

    🍌 = 368751317941299998271978115652254748254929799689719709962831‌​37471637224634055579‌​

    🍍 = 154476802108746166441951315019919837485664325669565431700026‌​63489825320203527799‌​9

  • kleeon [he/him, he/him]
    ·
    edit-2
    2 years ago

    here is another fun one

    🍌^3 + 🍎^3 = 🍍^3

    where 🍌🍎🍍 are positive integers

  • GreenTeaRedFlag [any]
    ·
    2 years ago

    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

    • JuneFall [none/use name]
      ·
      edit-2
      2 years ago

      Beautiful proof.

      spoiler

      Any number below 1000 fails, there are imaginary solutions that are to find with quite a bit of footwork, though.

  • SerLava [he/him]
    ·
    edit-2
    2 years ago

    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:

  • JuneFall [none/use name]
    ·
    2 years ago

    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.

  • dat_math [they/them]
    ·
    2 years ago

    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.