/sci/ - Science & Math » Thread #10855354

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Anonymous Thu 01 Aug 19:43:20 2019 No.10855354 View Reply Original Report

Quoted By: >>10855413 >>10855583 >>10855589

If you can't solve this, you shouldn't be allowed to post on /sci/

Anonymous

Anonymous Thu 01 Aug 2019 20:09:28 No.10855413 Report

Quoted By: >>10855511

>>10855354
no solution. best approximation i get is
x = 35, y = 132, z = 627

Anonymous

Anonymous Thu 01 Aug 2019 20:49:52 No.10855511 Report

Quoted By: >>10855663

>>10855413

how do you prove there is no solution?

Anonymous

Anonymous Thu 01 Aug 2019 20:51:18 No.10855514 Report

Quoted By:

better approximation
20 7381 1957

Anonymous

Anonymous Thu 01 Aug 2019 20:57:33 No.10855528 Report

Quoted By:

36,1949,7413

Anonymous

Anonymous Thu 01 Aug 2019 21:16:48 No.10855574 Report

Quoted By:

Part of the solution set can be obtained by solving a third-degree equation with three unknowns.

Are there any theorems in number theory or group theory that show that equations of this type have or don't have any non-trivial solutions in whole numbers?

Anonymous

Anonymous Thu 01 Aug 2019 21:20:39 No.10855583 Report

Quoted By: >>10855657

>>10855354
The solutions are
a=154476802108746166441951315019919837485664325669565431700026634898253202035277999,
b=36875131794129999827197811565225474825492979968971970996283137471637224634055579,
c=4373612677928697257861252602371390152816537558161613618621437993378423467772036

https://www.quora.com/How-do-you-find-the-positive-integer-solutions-to-frac-x-y%2Bz-%2B-frac-y-z%2Bx-%2B-frac-z-x%2By-4/answer/Alon-Amit

Anonymous

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Anonymous Thu 01 Aug 2019 21:23:29 No.10855589 Report

Quoted By:

>>10855354
Something something permutations
something something number of solutions
something something number of unknowns
something something dark side
something something complete

tfw brainlet

Anonymous

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Anonymous Thu 01 Aug 2019 21:47:23 No.10855657 Report

Quoted By:

>>10855583
christ

Anonymous

Anonymous Thu 01 Aug 2019 21:49:51 No.10855663 Report

Quoted By: >>10855668

>>10855511
3 incognitos for 1 equation means its mathematically impossible.
You need two more equations.

Anonymous

Anonymous Thu 01 Aug 2019 21:52:17 No.10855668 Report

Quoted By: >>10855702

>>10855663
but its been solved, read the thread

Anonymous

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Anonymous Thu 01 Aug 2019 22:03:57 No.10855697 Report

Quoted By: >>10855712 >>10855780

This one is only half as difficult.

Anonymous

Anonymous Thu 01 Aug 2019 22:05:12 No.10855702 Report

Quoted By:

>>10855668
I have, I read the answer and I stand corrected. I also missed the requirement of the solution being a positive integer.

Anonymous

Anonymous Thu 01 Aug 2019 22:09:44 No.10855712 Report

Quoted By: >>10855722

>>10855697
Solution is 1, 1, 3
1/(1 + 3) + 1 / (1 + 3) + 3/(1 + 1) = 1/4 + 1/4 + 3/2 = 2

Anonymous

Anonymous Thu 01 Aug 2019 22:15:23 No.10855722 Report

Quoted By: >>10855725

>>10855712
(1/(0+1)) + (1/(1+0)) + (0/(1+1)) = 2

Anonymous

Anonymous Thu 01 Aug 2019 22:16:16 No.10855725 Report

Quoted By:

>>10855722
0 is not positive

Anonymous

Anonymous Thu 01 Aug 2019 22:34:37 No.10855780 Report

Quoted By: >>10855822

>>10855697
[1,3,1]
[2,6,2]
[3,1,1]
[3,3,9]
[4,4,12]
[5,5,15]
[6,18,6]
[7,21,7]
[8,24,8]
[9,3,3]
[9,9,27]
[10,10,30]
[11,11,33]
[12,4,4]
[12,12,36]
[13,13,39]
[14,14,42]
[15,5,5]
[15,45,15]
[16,48,16]
[16,16,48]
[17,51,17]
[18,6,6]
[18,18,54]
[19,19,57]
[20,60,20]
[21,7,7]
[21,21,63]
[22,22,66]
[23,69,23]
[24,8,8]
[24,72,24]
[24,24,72]
[25,25,75]
[26,78,26]
[27,9,9]
[27,27,81]
[28,28,84]
[29,87,29]
[29,29,87]
[30,10,10]
[30,30,90]
[31,93,31]
[31,31,93]
[32,32,96]
[33,11,11]
[33,99,33]
[33,33,99]
[36,12,12]
[39,13,13]
[42,14,14]
[45,15,15]
[48,16,16]
[51,17,17]
[54,18,18]
[57,19,19]
[60,20,20]
[63,21,21]
[66,22,22]
[69,23,23]
[72,24,24]
[75,25,25]
[78,26,26]
[81,27,27]
[84,28,28]
[87,29,29]
[90,30,30]
[93,31,31]
[96,32,32]
[99,33,33]

Anonymous

Anonymous Thu 01 Aug 2019 22:46:15 No.10855822 Report

Quoted By:

>>10855780
>including permutations that are reassignments of the variables and projections
w2g

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