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Would it be a rabbit hole to try and find any merit in this solution when interpreting it as: "if x is in a superposition of 2 and -2, the
x + 2 = x - 2would be true in 1/4 of the observations", or something like that?It is the closest thing to a "solution" that I can imagine, but doesn't fit any laws that I know of or understand, and would probably break down on any scrutiny, but it feels like something is there.
x cant be both values at the same time, not under what most people consider to be math. Feel free to write your own logical system and see where that takes you, though.
I think the only āsolutionā that works is addition/subtraction under mod 4 (or mod 2 I suppose) like another poster suggested. Then weād have:
X + 2 = x - 2
X + 4 = x (Add 2 to both sides)
X + 0 = x (4 = 0 mod 4)
X = x (True for all x)
(True for all x)
But not true for any rational number if you try it in the equation.
Thus, this is not a solution. The equation is unsolvable with rational numbers.
Correct, not solvable with rational numbers. I should have been more clear. When weāre doing arithmetic modulo x, itās assumed to be with integers.
To be clear, this is a solution only in Z_4 which is not what most people mean when theyāre look for answers to algebra problems. And it would be a solution for all x in Z_4 (which are integers, see this page that I assume is a good summary)
Yes, that is correct, this is solvable in modular algebra... but, in that case, the tripple horizontal line equal sign should have been used, not the double horizontal line one, which of course indicates classic algebra.
Also true but Iām not sure how to do that on my phone so I gave up
Maybe lemmy can do mathjax someday
I was talking about the person that posted the equation. They should have found a way if they wanted this thing solved, lol š.
Don't overthink it, it's made to be unsolvable on purpose, just to test how much math your average Joe knows.
Haha I got that :) @[email protected] is right, I was halfheartedly looking for a logic system in which it could make sense. Still, I would have major issues with the first step as it is shown, but I am wondering about systems where, say, each
x <- {..}, then what would be the set, and the probability of the correct solution.Something I need to be more awake for, and it may be easier to solve without resorting to powers and roots, haha.
Reply to self: really not that useful. That would be the same as just throwing all variables/coordinates of the solution in a set, forgetting their names and then filling them back in as some kind of madlibs experiment. And multiple solutions don't grow with the exponent on x, that is just an odd/even thing. Don't know shat I was thinking...
I can tell you one thing, the equation makes perfect sense if x --> inf.