/sci/ - Science & Math » Thread #13771034

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Anonymous Wed 20 Oct 07:14:41 2021 No.13771034 View Reply Original Report

Quoted By: >>13771085 >>13771111 >>13771539 >>13775572 >>13776695

what are the real solutions to $x^2 + 1 = 0$

Anonymous

Anonymous Wed 20 Oct 2021 07:19:30 No.13771039 Report

Quoted By: >>13772496

Over the finite field F_2, obviously 1.
In F_5, obviously 2

Anonymous

Anonymous Wed 20 Oct 2021 07:50:46 No.13771085 Report

Quoted By:

>>13771034
Depends what you mean by real

Anonymous

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Anonymous Wed 20 Oct 2021 08:05:24 No.13771111 Report

Quoted By: >>13772472

>>13771034
i

Anonymous

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Anonymous Wed 20 Oct 2021 11:40:30 No.13771539 Report

Quoted By: >>13772472

>>13771034

Anonymous

Anonymous Wed 20 Oct 2021 17:38:15 No.13772472 Report

Quoted By: >>13772570

>>13771111
>>13771539
Stop making up shit, that is obviously not real

Anonymous

Anonymous Wed 20 Oct 2021 17:48:07 No.13772496 Report

Quoted By: >>13776753

>>13771039
Finite fields are not subfields of R, so those are not real solutions.

Anonymous

Anonymous Wed 20 Oct 2021 18:12:42 No.13772570 Report

Quoted By:

>>13772472
yes, its imaginary

Anonymous

Anonymous Thu 21 Oct 2021 09:54:47 No.13775572 Report

Quoted By:

>>13771034
none

Anonymous

Anonymous Thu 21 Oct 2021 18:54:37 No.13776695 Report

Quoted By:

>>13771034
$x^2 +1 = 0 \implies x^2 = 1 \implies x*x = 1*1 \implies x*1 = x*1 \implies 1$ Q.E.D

Anonymous

Anonymous Thu 21 Oct 2021 19:10:15 No.13776753 Report

Quoted By:

>>13772496
They invoke no field extensions, therefore they are "real"

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