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help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:33:36
**BlzrdStrike**
https://cdn.discordapp.c…836687605850.png
757301836687605850.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:34:09
But does that sum to -1?
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:34:32
$(x + 1) (x - 12)$
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:34:34
**BlzrdStrike**
https://cdn.discordapp.c…836687605850.png
757301836687605850.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:34:45
Still doesn't make a difference
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:34:57
Try FOILing
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:35:02
See that equals $x^2-x-12 = 0$
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:35:04
**dldh06**
https://cdn.discordapp.c…210272391178.png
485903210272391178.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:35:31
idk
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:35:44
Did you try to expand $(x + 1) (x - 12)$?
0
1
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null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:35:46
**dldh06**
https://cdn.discordapp.c…210272391178.png
485903210272391178.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:35:48
no
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:35:55
So then expand it
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:35:56
fine
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:36:30
$x^2 - 12x + x -12$
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:36:33
**BlzrdStrike**
https://cdn.discordapp.c…836687605850.png
757301836687605850.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:37:04
Is that the same as the original problem, $x^2-x-12 = 0$
0
1
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null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:37:07
**dldh06**
https://cdn.discordapp.c…210272391178.png
485903210272391178.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:37:23
no
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:37:41
So then what does that mean you should do?
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:37:59
not do my hw and play video games
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:38:01
jkjk
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:38:02
but
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:38:15
like find a match for it
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:38:29
So what other factors of -12 could you use?
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:38:46
But it should also add up to -1
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:38:51
hm
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:39:15
What are the factors of 12?
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:39:18
1 (-12)
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:39:32
-1 (12)
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:39:40
All the factors of -12
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:39:50
1, -12
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:39:57
2, -6
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:40:02
3, -4
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:40:07
4, -3
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:40:16
6, -2
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:40:26
no more
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:40:32
12, -1
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:40:44
wait
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:40:47
3, -4
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:41:07
IT WORKS!!!
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:41:10
right?
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:41:14
Yes
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:41:18
wAYYYYYYYAYYYY
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:41:29
Because that adds up to -1 and multiplies to -12
0
1
null
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null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:41:32
ok
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:41:36
so
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:41:56
$x - 3x - 4x -12$
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:41:58
**BlzrdStrike**
https://cdn.discordapp.c…836687605850.png
757301836687605850.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:42:16
wait
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:42:29
$x - 3x - 4x = 0$
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:42:31
**BlzrdStrike**
https://cdn.discordapp.c…836687605850.png
757301836687605850.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:42:34
so now ZPP
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:42:45
That's when you expand, but don't forget it's in the form (x + a)(x + b) = 0
0
1
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null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:42:58
what about zero product property
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:43:00
Where a and b where the factors you found
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:43:18
This isn't correct yet
0
1
757,301,836,687,605,900
BlzrdStrike
7826
BlzrdStrike
false
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:43:32
Should look like this
0
1
757,301,836,687,605,900
BlzrdStrike
7826
BlzrdStrike
false
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:43:48
$(x - 3) (x - 4)$
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:43:51
**BlzrdStrike**
https://cdn.discordapp.c…836687605850.png
757301836687605850.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:43:55
= 0
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:43:57
Close
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:44:09
Remember, you said it was 3 and -4
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:44:17
So why is it -3 and -4?
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:44:27
$(x + 3) (x - 4)$
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:44:41
**BlzrdStrike**
https://cdn.discordapp.c…836687605850.png
757301836687605850.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:44:50
$(x + 3) (x - 4) = 0$
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:44:53
**dldh06**
https://cdn.discordapp.c…210272391178.png
485903210272391178.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:44:56
To make it more proper
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:45:00
yes
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:45:42
So zero product property, states that if given AB = 0, then either A = 0 or B = 0
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:46:09
$x + 3 = 0, x = -3/ x - 4 = 0, x = 4$
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:46:30
**BlzrdStrike**
https://cdn.discordapp.c…836687605850.png
757301836687605850.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:46:52
You can just close each one with $
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:46:58
ok
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:47:03
$$x + 3 = 0, x = -3$$ $$x - 4 = 0, x = 4$$
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
510,789,298,321,096,700
TeXit
01/17/2022 15:47:06
**dldh06**
https://cdn.discordapp.c…210272391178.png
485903210272391178.png
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:47:11
But yes
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
485,903,210,272,391,200
dldh06
01/17/2022 15:47:13
This is it
0
1
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:47:18
ok
1
0
null
null
null
null
null
122
help-10
4e91f38d222b494aafb3791ca1c1d900
757,301,836,687,605,900
BlzrdStrike
01/17/2022 15:47:26
thx
1
0
null
null
null
null
null
123
help-10
e467db15cdc4412bb3b3589a47c8ea45
271,350,633,309,798,400
Jordi
01/17/2022 16:15:52
I have a simple question about this pde. Why is there no resonance in the ansatz?
https://cdn.discordapp.c…8622/unknown.png
unknown.png
1
0
null
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null
null
null
123
help-10
e467db15cdc4412bb3b3589a47c8ea45
271,350,633,309,798,400
Jordi
01/17/2022 16:16:57
The thing I don't understand is in b, why they don't use the ansatz t*e^(t)*(ACos(t)+BSin(t))
https://cdn.discordapp.c…1839/unknown.png
unknown.png
1
0
null
null
null
null
null
123
help-10
e467db15cdc4412bb3b3589a47c8ea45
271,350,633,309,798,400
Jordi
01/17/2022 16:18:16
instead of what they do, which is just (ACos(t)+BSin(t))
1
0
null
null
null
null
null
123
help-10
e467db15cdc4412bb3b3589a47c8ea45
186,109,587,366,215,680
Omegabet_
01/17/2022 16:30:05
cause the forcing function doesn't have e^t
0
1
271,350,633,309,798,400
Jordi
1684
Jordi
false
123
help-10
e467db15cdc4412bb3b3589a47c8ea45
186,109,587,366,215,680
Omegabet_
01/17/2022 16:30:36
cos(t) is just trig, so your guess for underdetermined coefficients is a linear combination of cos and sin
0
1
null
null
null
null
null
123
help-10
e467db15cdc4412bb3b3589a47c8ea45
271,350,633,309,798,400
Jordi
01/17/2022 16:33:33
ahh, I see
1
0
null
null
null
null
null
123
help-10
e467db15cdc4412bb3b3589a47c8ea45
271,350,633,309,798,400
Jordi
01/17/2022 16:33:40
Thanks for your help!
1
0
null
null
null
null
null
123
help-10
e467db15cdc4412bb3b3589a47c8ea45
271,350,633,309,798,400
Jordi
01/17/2022 16:33:47
.close
1
0
null
null
null
null
null
124
help-10
4f713a8c390a44f8a1793e51287595ba
517,366,138,682,867,700
Sand.gt
01/17/2022 16:42:25
i just need to know if my answer is correct
https://cdn.discordapp.c…3952/unknown.png
unknown.png
1
0
null
null
null
null
null
124
help-10
4f713a8c390a44f8a1793e51287595ba
517,366,138,682,867,700
Sand.gt
01/17/2022 16:42:59
i did 14 x 12 x 10 x 8
1
0
null
null
null
null
null
124
help-10
4f713a8c390a44f8a1793e51287595ba
517,366,138,682,867,700
Sand.gt
01/17/2022 16:52:15
is that correct^
1
0
null
null
null
null
null
124
help-10
4f713a8c390a44f8a1793e51287595ba
517,366,138,682,867,700
Sand.gt
01/17/2022 16:55:49
could i get steps on how to do this question please
1
0
null
null
null
null
null
124
help-10
4f713a8c390a44f8a1793e51287595ba
321,445,119,171,756,000
Shuri2060
01/17/2022 16:56:31
So what are the possibilities
0
1
null
null
null
null
null
124
help-10
4f713a8c390a44f8a1793e51287595ba
321,445,119,171,756,000
Shuri2060
01/17/2022 16:56:33
for the 2 shapes?
0
1
null
null
null
null
null
124
help-10
4f713a8c390a44f8a1793e51287595ba
517,366,138,682,867,700
Sand.gt
01/17/2022 16:56:55
is it 13440?
1
0
null
null
null
null
null
124
help-10
4f713a8c390a44f8a1793e51287595ba
321,445,119,171,756,000
Shuri2060
01/17/2022 16:57:22
🟥 ⚫ OR ⬛ 🔴
0
1
null
null
null
null
null
124
help-10
4f713a8c390a44f8a1793e51287595ba
321,445,119,171,756,000
Shuri2060
01/17/2022 16:57:25
Do you agree?
0
1
null
null
null
null
null
124
help-10
4f713a8c390a44f8a1793e51287595ba
517,366,138,682,867,700
Sand.gt
01/17/2022 16:57:35
yes
1
0
null
null
null
null
null
124
help-10
4f713a8c390a44f8a1793e51287595ba
321,445,119,171,756,000
Shuri2060
01/17/2022 16:57:44
So we add these 2 cases.
0
1
null
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