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205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:05:18
and did (-y^2+9)(y^2+16)
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:05:23
k.
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:05:28
looks good
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:05:32
probably
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:05:43
and then i used y^2 = 9
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:05:48
why?
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:05:48
so then y = +- 3
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:05:58
because the other one produces an imaginary
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:05:59
just checking.
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:06:01
good
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:06:04
y was real
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:06:06
then?
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:06:15
and then i subbed it into the xy = -12 eqiatop
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:06:20
to get the x terms
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:06:29
so your (x,y) pairs are?
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:06:52
so the pairs are then (-4,3) and (4,-3)
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:07:01
hmmmm
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:07:05
but why do I get two solutions
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:07:20
ok working sounds good
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:07:25
look at the original equation
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:07:30
And also why is it that I get one solution in using polar form
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:07:37
than if i use this way to get two solutions
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:07:40
do you notice this is a polynomial?
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:07:50
yeah
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:07:51
its degree?
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:08:08
4
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:08:14
no.
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:08:16
original
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:08:21
2
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:08:49
theres a theorem that says all complex polynomials have roots equal to their degree (note some may be repeated roots)
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:09:00
So getting 2 is to be expected
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:09:07
yeah
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:09:10
Think about x^2 = 1
0
1
373,884,980,977,336,300
Remavas
3737
Remavas
false
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:09:16
there are 2
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:09:27
so then why is it that when i use eular form when have it worked like this and i only get 1 solution?
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:09:32
in polar form there are 2 solutions also.
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:09:45
how?
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:09:46
why did you halve the angle?
0
1
null
null
null
null
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205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:10:01
halve angle because of de'moivre theorem
1
0
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null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:10:09
you are solving 2 theta = ??? MOD 2pi
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:10:41
what does MOD represent?
1
0
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null
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205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:10:43
u can divide the angle if ur just taking the root. Or fractional power.
0
1
null
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null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:11:03
where must theta be
0
1
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null
null
null
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205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:11:09
in polar form
0
1
370,717,717,151,350,800
Hejoric
0912
Hejoric
false
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:11:44
I'm confused?
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:13:19
theta
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:13:23
in polar form
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:13:30
Can it be 10pi?
0
1
370,717,717,151,350,800
Hejoric
0912
Hejoric
false
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:13:34
it can
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:13:40
what.
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:13:50
but it is better of to have it represents in lower terms
1
0
420,244,167,726,333,950
kirby your mom
8749
kirby your mom
false
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:13:59
In standard polar form you are given a range theta lies in.
0
1
null
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null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:14:10
or you mean it going between -pi < 0 < pi
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:14:20
yeah
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:14:37
so basically it is modding 2pi i get it
1
0
null
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null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:15:06
so if 3theta = 0.75pi
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:15:15
what are the solutions for theta
0
1
null
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null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:16:09
it would be 0.75pi + 2pik
1
0
370,717,717,151,350,800
Hejoric
0912
Hejoric
false
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:16:17
for which k = 0, +- 1
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:16:17
no.
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:16:25
also divided by 3
1
0
722,342,250,083,909,600
ItzKar4n
8310
ItzKar4n
false
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:16:35
-pi < theta < pi -3pi < 3theta < 3pi
0
1
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:16:52
you can also do it this way
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:16:57
but yes
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:17:10
okay
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:17:17
if u take all possible 3theta in that range then divide
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:18:16
yeah
1
0
373,884,980,977,336,300
Remavas
3737
Remavas
false
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:18:40
what about in eular form?
1
0
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:18:53
???
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:19:01
same principle applies
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:19:05
in euler form isn't it only one solution?
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:19:08
no.
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:19:13
how you just take it by the exponential rule
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:19:17
literally the same thing.
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
321,445,119,171,756,000
Shuri2060
01/29/2022 08:20:12
$$e^{i\theta}=e^{i(\theta +2n\pi)}$$
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
510,789,298,321,096,700
TeXit
01/29/2022 08:20:15
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:20:39
thank you so much
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:20:42
I get thanks
1
0
null
null
null
null
null
205,735
help-1
e8afbdfd044c431d98c182eed61ede94
320,090,412,012,404,740
Kubra
01/29/2022 08:20:45
.close.
1
0
null
null
null
null
null
205,736
help-1
153d999e058944d19c4a8450bc35b7fc
321,445,119,171,756,000
Shuri2060
01/29/2022 09:01:12
Yes, mostly.
1
0
null
null
null
null
null
205,736
help-1
153d999e058944d19c4a8450bc35b7fc
321,445,119,171,756,000
Shuri2060
01/29/2022 09:01:28
sorry
1
0
null
null
null
null
null
205,736
help-1
153d999e058944d19c4a8450bc35b7fc
321,445,119,171,756,000
Shuri2060
01/29/2022 09:01:31
Big difference.
1
0
510,789,298,321,096,700
TeXit
0796
TeXit
true
205,736
help-1
153d999e058944d19c4a8450bc35b7fc
321,445,119,171,756,000
Shuri2060
01/29/2022 09:02:42
I don't have a great memory but I think mainly it's harder
1
0
null
null
null
null
null
205,736
help-1
153d999e058944d19c4a8450bc35b7fc
321,445,119,171,756,000
Shuri2060
01/29/2022 09:02:55
There may be topics you haven't covered, but even the ones you have, the questions are of a different style.
1
0
null
null
null
null
null
205,736
help-1
153d999e058944d19c4a8450bc35b7fc
321,445,119,171,756,000
Shuri2060
01/29/2022 09:03:20
=== Your typical school math book problems are usually meant to be solved in a set way
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help-1
153d999e058944d19c4a8450bc35b7fc
321,445,119,171,756,000
Shuri2060
01/29/2022 09:03:41
There would be one example, and most of the exercises that follow require you to use the same methodology.
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help-1
153d999e058944d19c4a8450bc35b7fc
321,445,119,171,756,000
Shuri2060
01/29/2022 09:05:10
Practising past IMO/similar kind of questions makes more sense.
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help-1
153d999e058944d19c4a8450bc35b7fc
321,445,119,171,756,000
Shuri2060
01/29/2022 09:05:26
Hard problems from your school book might be good anyways. Depedsn on the book.
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153d999e058944d19c4a8450bc35b7fc
332,561,465,405,866,000
Kepe
01/29/2022 09:06:35
Alr, thank you
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c00391c8a4f4488d9e4f3b3efa605cf5
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Florinache
01/29/2022 09:11:25
https://cdn.discordapp.c…2962/unknown.png
unknown.png
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help-1
c00391c8a4f4488d9e4f3b3efa605cf5
329,631,678,320,345,100
Florinache
01/29/2022 09:11:34
helppp
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help-1
c00391c8a4f4488d9e4f3b3efa605cf5
329,631,678,320,345,100
Florinache
01/29/2022 09:12:13
@TeXit
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help-1
c00391c8a4f4488d9e4f3b3efa605cf5
329,631,678,320,345,100
Florinache
01/29/2022 09:13:18
idk how to work here
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help-1
c00391c8a4f4488d9e4f3b3efa605cf5
329,631,678,320,345,100
Florinache
01/29/2022 09:13:28
i will multiply by 3
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help-1
c00391c8a4f4488d9e4f3b3efa605cf5
329,631,678,320,345,100
Florinache
01/29/2022 09:13:35
and its x 3 = x 3 + 4x
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help-1
c00391c8a4f4488d9e4f3b3efa605cf5
329,631,678,320,345,100
Florinache
01/29/2022 09:13:40
and now
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help-1
c00391c8a4f4488d9e4f3b3efa605cf5
329,631,678,320,345,100
Florinache
01/29/2022 09:13:41
what
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c00391c8a4f4488d9e4f3b3efa605cf5
329,631,678,320,345,100
Florinache
01/29/2022 09:14:01
@Helpers
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Deleted Account
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c00391c8a4f4488d9e4f3b3efa605cf5
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Florinache
01/29/2022 09:14:32
GUYS
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Calamity
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help-1
c00391c8a4f4488d9e4f3b3efa605cf5
329,631,678,320,345,100
Florinache
01/29/2022 09:14:38
hurry up please
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