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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 07:03:24
what is x?
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9631272de3f640449d0f7255841cf21b
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Ansh_
01/25/2022 07:03:38
ohhh, I got it nvm
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9631272de3f640449d0f7255841cf21b
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Ansh_
01/25/2022 07:05:50
Are x1, x2, x3, x4 ... factors of x or something? or just integers, that's it?
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:06:15
just integers i guess
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706,934,233,012,371,600
Ansh_
01/25/2022 07:14:09
Huh? there has to be something else given as well... Tried with two integers x1, x2: x = (1-(x1)^2) and x1 + x2 = 0 => P = -(x1)^2 (1-(x1)^2)
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9631272de3f640449d0f7255841cf21b
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Ansh_
01/25/2022 07:14:20
Can you ss the complete question?
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:14:31
oh its in a different language
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Ansh_
01/25/2022 07:15:07
No worries
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649,984,702,010,359,800
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leonard
01/25/2022 07:15:26
i translated it all
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:15:28
1 to 1
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false
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Ansh_
01/25/2022 07:15:34
send lol
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:15:36
aaaaa
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 07:15:38
fine
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9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 07:15:40
👀
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649,984,702,010,359,800
leonard
01/25/2022 07:16:01
https://cdn.discordapp.c…8723/unknown.png
unknown.png
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leonard
01/25/2022 07:16:11
thats it
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9631272de3f640449d0f7255841cf21b
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Ansh_
01/25/2022 07:17:09
hmmmm
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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 07:17:24
Anything you've tried so far?
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leonard
01/25/2022 07:17:33
yeah
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:17:53
ive tried multiplying it by its conjugate
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:18:15
then dividing the conjugated 1st part with the 2nd part ^2
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 07:18:25
=1
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:19:08
im pretty sure P = 0
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:19:16
but i need za proof
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9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 07:21:27
Tried setting a polynomial with x1,x2,x3...,x9 integer roots??
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leonard
01/25/2022 07:21:37
no
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leonard
01/25/2022 07:21:39
wait
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:22:20
isnt that just x1x2...x9=0
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Ansh_
01/25/2022 07:23:25
how?
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leonard
01/25/2022 07:23:38
no idea
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1
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false
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:23:59
but x1=x2=x3=...=x9=0 and x=1 satisfy
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help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 07:24:25
Lol 😂 do you know something?
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 07:24:37
idk
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help-10
9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 07:24:41
i thought i had it
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:24:58
so i came up with the x1=...
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9631272de3f640449d0f7255841cf21b
510,789,298,321,096,700
TeXit
01/25/2022 07:25:07
**Ansh**
https://cdn.discordapp.c…233012371577.png
706934233012371577.png
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 07:25:29
nice
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Ansh_
01/25/2022 07:31:47
nvm smh, it's probably something to do with GCD(1+x1 , 1-x1) = (1+x1, 2) = {1, 2}
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leonard
01/25/2022 07:32:11
yes yes
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 07:32:17
absolutely
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Ansh_
01/25/2022 07:32:32
=.= you're mocking me
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Ansh_
01/25/2022 07:32:35
:bearlain:
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:37:11
sry
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:37:18
im just so lost
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:38:00
:nootlikethis:
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help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:51:36
omgoodnees
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:51:43
i think i might have found a way
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9631272de3f640449d0f7255841cf21b
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Ansh_
01/25/2022 07:51:44
DID YOU SOLVE IT?
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9631272de3f640449d0f7255841cf21b
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Ansh_
01/25/2022 07:51:46
AAAAAAA
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leonard
01/25/2022 07:51:47
IDK
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leonard
01/25/2022 07:51:49
AAAAA
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Ansh_
01/25/2022 07:51:51
TELL MEEEE
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Ansh_
01/25/2022 07:51:56
:sad:
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 07:51:57
WAIT
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:52:12
I COULD JUST BE MISTAKEN
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leonard
01/25/2022 07:52:15
LEMME CHECK
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leonard
01/25/2022 07:53:44
i have no idea how to verify this
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:54:02
lemme try a smaller example with only x1 and x2
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 07:59:00
OMG
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 07:59:03
I THINK IT IS
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Ansh_
01/25/2022 07:59:08
WHAT
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 07:59:10
for the smaller case at least
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9631272de3f640449d0f7255841cf21b
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Ansh_
01/25/2022 07:59:10
P = 1?
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9631272de3f640449d0f7255841cf21b
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Ansh_
01/25/2022 07:59:15
:pandaScreams:
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 07:59:19
AAAAAH
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:59:20
idk
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9631272de3f640449d0f7255841cf21b
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Ansh_
01/25/2022 07:59:21
tell me already :sad:
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 07:59:47
if i reduce the problem down to (1+x1)(1+x2)=(1-x1)(1-x2)=x
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 07:59:56
i can prove that x1=-x2
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Ansh_
01/25/2022 08:00:01
yes
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Ansh_
01/25/2022 08:00:02
ofc
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Ansh_
01/25/2022 08:00:04
obv
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Ansh_
01/25/2022 08:00:12
so? what next
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leonard
01/25/2022 08:00:25
oh no
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leonard
01/25/2022 08:00:26
NOOOO
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leonard
01/25/2022 08:00:36
damnit
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 08:00:51
i got to x1^2 = x2^2
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 08:00:54
aaaaaaa
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:01:05
buuut that still satisfies x1 = -x2
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Ansh_
01/25/2022 08:01:12
You don't mean x1 = -x9, x2 = -x8, x3 = -x7, x4 = -x6?
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Ansh_
01/25/2022 08:01:23
and that'd imply x5 = 0?
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Ansh_
01/25/2022 08:01:28
or something like that?
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 08:01:30
yeah
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9631272de3f640449d0f7255841cf21b
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leonard
01/25/2022 08:01:31
maybe
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:01:32
aaaaaaa
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9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:04:39
oh dear
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Ansh_
01/25/2022 08:05:50
,w solve (1+a)(1+b)(1+c)(1+d)(1+e) = (1-a)(1-b)(1-c)(1-d)(1-e) over integers
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277
help-10
9631272de3f640449d0f7255841cf21b
510,789,298,321,096,700
TeXit
01/25/2022 08:05:59
0
1
null
null
null
null
null
277
help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:06:03
AAAA
0
1
null
null
null
null
null
277
help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:06:15
,w solve (1+a)(1+b)(1+c) = (1-a)(1-b)(1-c) over integers
0
1
null
null
null
null
null
277
help-10
9631272de3f640449d0f7255841cf21b
510,789,298,321,096,700
TeXit
01/25/2022 08:06:21
Results provided by WolframAlpha
0
1
null
null
null
null
null
277
help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:06:26
ohh woow
0
1
null
null
null
null
null
277
help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:06:41
bad choice... at least keep an odd number of variables
0
1
null
null
null
null
null
277
help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:06:49
yeah
0
1
null
null
null
null
null
277
help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:06:52
i was gonna
0
1
null
null
null
null
null
277
help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:07:00
(1+x1)(1+x2)(1+x3) = (1-x1)(1-x2)(1-x3) hmmm
0
1
null
null
null
null
null
277
help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:07:05
hmmmm
0
1
null
null
null
null
null
277
help-10
9631272de3f640449d0f7255841cf21b
706,934,233,012,371,600
Ansh_
01/25/2022 08:07:10
and prove x2 must be zero or smth :thinkies:
0
1
649,984,702,010,359,800
leonard
5010
leonard
false
277
help-10
9631272de3f640449d0f7255841cf21b
649,984,702,010,359,800
leonard
01/25/2022 08:07:31
yeaaah
0
1
null
null
null
null
null
277
help-10
9631272de3f640449d0f7255841cf21b
726,958,710,366,273,700
Stargazer
01/25/2022 08:07:38
first of all, x1, x2 and x3 can't all have the same sign........
0
1
null
null
null
null
null