this post was submitted on 20 Jan 2025
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[–] [email protected] 24 points 6 days ago (1 children)

This person has found an actual solution:

https://mlzeng.com/an-interesting-equation.html

x = 36875131794129999827197811565225474825492979968971970996283137471637224634055579

y = 154476802108746166441951315019919837485664325669565431700026634898253202035277999

z = 4373612677928697257861252602371390152816537558161613618621437993378423467772036

This is apparently the smallest solution.

The derivation of the solution itself requires an understanding of Diophantine equations and elliptical curves, which I will not pretend to understand well enough to summarize.

[–] [email protected] 8 points 6 days ago* (last edited 6 days ago)

From the same article, this is a solution when negative integers are allowed:

{{x -> 11, y -> 9, z -> -5}}

[–] [email protected] 36 points 1 week ago (1 children)

1, 1 and 7. The sum is 3.75 – take it or leave it.

[–] [email protected] 15 points 1 week ago (1 children)

Good enough for engineers.

[–] [email protected] 13 points 1 week ago (1 children)

Electronic engineers will know that 1, 1, 8 is closer but will go for 1, 1, 6.8 because they are in the E6 series and that will save 0.1 cents per device.

[–] [email protected] 6 points 1 week ago (1 children)

1, 1, 6.8

"6.8 isn't an integer"

"It rounds to an integer"

[–] [email protected] 4 points 1 week ago

"The tolerance is 5% so an integer is in range"

[–] [email protected] 17 points 1 week ago

no, no I can't

[–] [email protected] 9 points 1 week ago (1 children)

🍎=376556443707

🍌=50000000000

🍍=50000000000

[–] [email protected] 5 points 6 days ago (1 children)

Now do it for a case where a,b, and c are pair wise not equal.

[–] [email protected] 13 points 6 days ago* (last edited 1 day ago)

I have to admit, my solution is not correct anyways. I simply found a "solution" for which the margin of error is smaller than the calculator's level of precision.

Sorry everyone, I cheated.

[–] [email protected] 9 points 1 week ago (3 children)
[–] [email protected] 18 points 1 week ago

Ew please don't link Reddit without warning.

[–] [email protected] 17 points 1 week ago* (last edited 1 week ago)
[–] [email protected] 15 points 1 week ago

Not the same problem.

The original solution to this one was posted by +johncbaez999 on Google Plus and reposted here.

[–] [email protected] 5 points 1 week ago (1 children)

The solutions don't quite fancy me as positive whole values, see for yourself.

[–] [email protected] 6 points 1 week ago

An integer solution does exist.