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205,695
help-1
e3812e15b635476db6e5035398f561d3
684,674,576,998,858,800
kloser
01/28/2022 01:43:26
don't give out the entire solution!!
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
684,674,576,998,858,800
kloser
01/28/2022 01:43:34
that's not the entire solution
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
748,029,603,087,384,700
Yours truly
01/28/2022 01:43:34
My bad.
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
684,674,576,998,858,800
kloser
01/28/2022 01:43:35
but
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
684,674,576,998,858,800
kloser
01/28/2022 01:43:36
please
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
684,674,576,998,858,800
kloser
01/28/2022 01:43:41
one step at a time or something
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
748,029,603,087,384,700
Yours truly
01/28/2022 01:43:49
I usually do that
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
748,029,603,087,384,700
Yours truly
01/28/2022 01:43:57
However the guy is not here, I have to go as well
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
361,866,880,291,438,600
UNIVERSE
01/28/2022 01:44:11
huh why delete i was reading that
1
0
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
748,029,603,087,384,700
Yours truly
01/28/2022 01:44:13
But yeah others will help.
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
748,029,603,087,384,700
Yours truly
01/28/2022 01:44:19
Right.
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
748,029,603,087,384,700
Yours truly
01/28/2022 01:44:29
I leave it to you then.
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
361,866,880,291,438,600
UNIVERSE
01/28/2022 01:44:53
it is always 22+18 which is 40
1
0
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
684,674,576,998,858,800
kloser
01/28/2022 01:45:00
right
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
684,674,576,998,858,800
kloser
01/28/2022 01:45:10
so the probability of picking green apple is 3/5
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
361,866,880,291,438,600
UNIVERSE
01/28/2022 01:45:22
yep that what the question want
1
0
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
684,674,576,998,858,800
kloser
01/28/2022 01:45:25
so what should the number of green apples be after switching?
0
1
717,233,009,258,135,600
Messier 87 (M87)
3928
Messier 87 (M87)
false
205,695
help-1
e3812e15b635476db6e5035398f561d3
361,866,880,291,438,600
UNIVERSE
01/28/2022 01:45:49
decrease?
1
0
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
361,866,880,291,438,600
UNIVERSE
01/28/2022 01:46:56
wait nvm it increase because red apple is the one getting replaced
1
0
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
361,866,880,291,438,600
UNIVERSE
01/28/2022 02:28:12
got it i think 3/5*40 then got 24 so then i have to minus that with 18 the original amount of green apple
1
0
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
361,866,880,291,438,600
UNIVERSE
01/28/2022 02:28:18
so 6 is the answer
1
0
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
741,347,397,061,574,800
Sanchit
01/28/2022 02:42:42
Correct
0
1
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
361,866,880,291,438,600
UNIVERSE
01/28/2022 02:44:48
thanks
1
0
null
null
null
null
null
205,695
help-1
e3812e15b635476db6e5035398f561d3
361,866,880,291,438,600
UNIVERSE
01/28/2022 02:44:51
.close
1
0
null
null
null
null
null
205,696
help-1
4d9ce7f623024366aac7724f306bda84
323,531,881,859,776,500
krn
01/28/2022 04:16:07
You go to a casino and you have a 20% chance of winning something and you play five times, what are the odds that you win at least once
1
0
null
null
null
null
null
205,696
help-1
4d9ce7f623024366aac7724f306bda84
701,895,792,763,600,900
s_chanch
01/28/2022 04:16:39
100% - odds you completely lose
0
1
null
null
null
null
null
205,696
help-1
4d9ce7f623024366aac7724f306bda84
373,884,980,977,336,300
Remavas
01/28/2022 04:19:10
and calculating the odds that you lose all 5 times should be easy enough to compute
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
485,009,413,636,227,100
FiveEight5_8
01/28/2022 04:43:09
I need some help here, I need to find limit of a sequence
1
0
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
373,884,980,977,336,300
Remavas
01/28/2022 04:43:44
It would help knowing what the sequence is
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
373,884,980,977,336,300
Remavas
01/28/2022 04:43:54
and seeing your work
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
485,009,413,636,227,100
FiveEight5_8
01/28/2022 04:45:00
https://cdn.discordapp.c…20128_144330.jpg
IMG_20220128_144330.jpg
1
0
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
485,009,413,636,227,100
FiveEight5_8
01/28/2022 04:46:53
I know that I have to take 3, 5, 7 from that, pick either 7 or 5 and minus the previous one from one of them, for example take 7 and minus 5, or take 5 and minus 3
1
0
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
183,668,144,404,037,630
Ann
01/28/2022 04:47:00
??
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
183,668,144,404,037,630
Ann
01/28/2022 04:47:26
do you want the **limit** or the **sum** of this?
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
485,009,413,636,227,100
FiveEight5_8
01/28/2022 04:47:41
Limit
1
0
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
183,668,144,404,037,630
Ann
01/28/2022 04:47:46
this looks like $a_n = \frac{1}{(2n+1)(2n+2)}$
0
1
717,233,009,258,135,600
Messier 87 (M87)
3928
Messier 87 (M87)
false
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
510,789,298,321,096,700
TeXit
01/28/2022 04:47:48
**Ann**
https://cdn.discordapp.c…144404037632.png
183668144404037632.png
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
183,668,144,404,037,630
Ann
01/28/2022 04:48:02
so like... idk what you're talking about when this sequence very clearly approaches zero
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
373,884,980,977,336,300
Remavas
01/28/2022 04:48:07
^
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
373,884,980,977,336,300
Remavas
01/28/2022 04:48:37
you could even prove it to yourself with the epsilon-definition if you doubt us
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
373,884,980,977,336,300
Remavas
01/28/2022 04:48:42
but this sequence approaches zero
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
485,009,413,636,227,100
FiveEight5_8
01/28/2022 04:50:49
Hmm, not sure what that means, how would you get the sum of this
1
0
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
569,167,697,925,898,240
Camilleone
01/28/2022 04:51:17
we're back to the same question: do you want the **limit** or the **sum**?
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
569,167,697,925,898,240
Camilleone
01/28/2022 04:51:27
they are two very different things
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
485,009,413,636,227,100
FiveEight5_8
01/28/2022 04:52:03
I am supposed to get the limit of that
1
0
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
485,009,413,636,227,100
FiveEight5_8
01/28/2022 04:52:21
But kind of confused
1
0
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
373,884,980,977,336,300
Remavas
01/28/2022 04:52:24
then the limit equals 0
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
373,884,980,977,336,300
Remavas
01/28/2022 04:52:34
but I very much doubt that is what you actually need
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
569,167,697,925,898,240
Camilleone
01/28/2022 04:53:54
okay, let me put it in math terms, do you want $$\lim_{n\to\infty} a_n$$ or $$\lim_{n\to\infty} (a_1 + a_2 + \dots + a_n)?$$
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
510,789,298,321,096,700
TeXit
01/28/2022 04:53:57
**Camilleone**
https://cdn.discordapp.c…697925898261.png
569167697925898261.png
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
485,009,413,636,227,100
FiveEight5_8
01/28/2022 04:55:08
The second one, I remember in class taking a1 and a2 and doing something with those 2 values
1
0
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
569,167,697,925,898,240
Camilleone
01/28/2022 04:55:29
then you want the sum
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
485,009,413,636,227,100
FiveEight5_8
01/28/2022 04:55:37
Ah
1
0
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
569,167,697,925,898,240
Camilleone
01/28/2022 04:56:16
to do this you need to perform the thing called partial fractions
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
569,167,697,925,898,240
Camilleone
01/28/2022 04:58:25
this is the general term, and the idea is to split it each term into two fractions and see what the partial sum looks like
0
1
321,445,119,171,756,000
Shuri2060
9525
a μ-er
false
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
569,167,697,925,898,240
Camilleone
01/28/2022 04:58:43
incidentally the partial sum is $a_1 + \dots + a_n$
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
510,789,298,321,096,700
TeXit
01/28/2022 04:58:45
**Camilleone**
https://cdn.discordapp.c…697925898261.png
569167697925898261.png
0
1
null
null
null
null
null
205,697
help-1
a41741042ba640bb9f63c77396f64c0f
485,009,413,636,227,100
FiveEight5_8
01/28/2022 05:12:00
No, but I understand it now, time for class tho so I gtg thanks alot
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:03:09
Can someone explain to me
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:03:09
https://cdn.discordapp.c…4727/unknown.png
unknown.png
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:03:13
when doing a question like this
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:03:31
(x^2 - y^2) = Re(z) = 11
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:03:49
2xy = im(z) = 12sqrt(5)
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:03:53
do some substitution
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:04:13
y^4 + 11y^2 -180 = 0
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:04:17
the solutions to this are
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:04:41
y = +-3 OR y= +-sqrt(-20)
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:04:53
now the +-sqrt(20) is actually the value of x
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:04:59
my question is:
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:05:15
is this always the case? Why is this always the case? Can you prove it graphically?
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
872,024,354,572,103,700
<><><>
12/22/2021 10:15:33
$ x+yi = \pm \sqrt{11+(12\sqrt{5})i}\iff (x+iy)^2 = 11+(12\sqrt{5})i \iff x^2-y^2+2xyi = 11+(12\sqrt{5})i$ hence $x^2-y^2 = 11 $ and $2xy = 12\sqrt{5}$
0
1
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
510,789,298,321,096,700
TeXit
12/22/2021 10:16:49
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
872,024,354,572,103,700
<><><>
12/22/2021 10:17:59
And you can solve the equations simultaneously for the + and - square root of the given complex number
0
1
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:18:04
i managed to solve it
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
872,024,354,572,103,700
<><><>
12/22/2021 10:18:11
However, this approach is not possible when you have a cubic
0
1
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
872,024,354,572,103,700
<><><>
12/22/2021 10:18:13
or quartic
0
1
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:18:18
my question was about why the complex root of a solution to one variable is the (negative/magnitude) root solution to the other
1
0
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
872,024,354,572,103,700
<><><>
12/22/2021 10:19:12
Complex roots appear in conjugages
0
1
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:19:22
no but
1
0
130,332,620,784,533,500
derdotte
1396
derdotte
false
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:19:25
i know that but
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0
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205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:19:29
when solving for y
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0
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205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:19:40
you get a second solution to y^2
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0
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205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:19:48
which is actually the solution to (-x)^2
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205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:20:06
https://cdn.discordapp.c…5706/unknown.png
unknown.png
1
0
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205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:20:07
this bit
1
0
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help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:20:19
+-sqrt(20) is the value of x
1
0
716,505,727,367,249,900
your brother
2441
your brother
false
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:20:29
but i achieved it while solving for y
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205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:20:36
im asking why i got the solution for x when solving for y, and if you always do
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help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:23:35
Oh
1
0
716,505,727,367,249,900
your brother
2441
your brother
false
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:23:49
Complex numbers huh
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help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:25:19
@Helpers
1
0
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help-1
8b04c92fe27c4ec48854d270088b60ff
872,024,354,572,103,700
<><><>
12/22/2021 10:28:32
Your quartic produces 4 solutions, but y can only take two of those values
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1
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help-1
8b04c92fe27c4ec48854d270088b60ff
872,024,354,572,103,700
<><><>
12/22/2021 10:29:01
If $y = \pm 3, \pm \sqrt{20}$ then $x = \pm \sqrt{20}, \pm 3$
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1
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help-1
8b04c92fe27c4ec48854d270088b60ff
510,789,298,321,096,700
TeXit
12/22/2021 10:29:04
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
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205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
872,024,354,572,103,700
<><><>
12/22/2021 10:29:35
Now if you let $y=\pm \sqrt{20}$
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1
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205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
510,789,298,321,096,700
TeXit
12/22/2021 10:29:38
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
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null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
872,024,354,572,103,700
<><><>
12/22/2021 10:30:02
this does not satisfy $x^2-y^2 = 11$
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1
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help-1
8b04c92fe27c4ec48854d270088b60ff
510,789,298,321,096,700
TeXit
12/22/2021 10:30:04
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:30:38
aha alright i understand now why it can't be root 20,
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0
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205,698
help-1
8b04c92fe27c4ec48854d270088b60ff
456,226,577,798,135,800
Deleted User
12/22/2021 10:30:52
however im still wondering - why is it that the value it can't be corresponds to the value of the other variable?
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