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help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 06:58:51
https://cdn.discordapp.c…5730/unknown.png
unknown.png
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 06:59:22
Will my final equation to work out the time taken by each of them to wash the car be this:
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a24edb43249c4550ba1a7f9385d6083e
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TeXit
03/06/2022 06:59:35
**Nightsky**
https://cdn.discordapp.c…566508716083.png
946433566508716083.png
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:01:43
Anticipable enough, no one will answer as usual.
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help-10
a24edb43249c4550ba1a7f9385d6083e
706,934,233,012,371,600
Ansh_
03/06/2022 07:06:57
Lol
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:07:16
> Assumption is the mother of all failures.
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456,226,577,798,135,800
Deleted User
03/06/2022 07:07:42
Well, I'm not assuming here, I'm speaking from experience.
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:08:23
Could you help me? If possible.
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a24edb43249c4550ba1a7f9385d6083e
706,934,233,012,371,600
Ansh_
03/06/2022 07:09:21
$x(x - 60) = 72 \implies x^2 - 60x = 72$ $$\implies x^2 - 2\cdot 30x = 72$$ $$\implies x^2 - 2\cdot 30x + 30^2 = 72 + 30^2$$ $$\implies (x - 30)^2 = 30^2 + 72$$
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TeXit
03/06/2022 07:09:24
**Ansh**
https://cdn.discordapp.c…233012371577.png
706934233012371577.png
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:09:47
I'm not asking for the solution..lol.
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:09:59
I'm asking whether or not this will be the final equation.
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a24edb43249c4550ba1a7f9385d6083e
706,934,233,012,371,600
Ansh_
03/06/2022 07:10:06
🤔
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EpicGuy4227
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Remavas
03/06/2022 07:10:13
well show us how you derived it
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:10:19
that would help
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:10:49
Well, I haven't tried, I just spoke from my Intuition.
1
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:10:55
Because I'm confused.
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:11:24
If they work together, the time taken to wash the car should be less than the time taken by either of them Individually.
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:11:29
So you must divided here?
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Deleted User
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:12:10
What if, instead of trying to intuitively guess the right equation, you derived it?
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:12:17
That way you can be sure it is correct too!
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Remavas
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:12:19
How?
1
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706,934,233,012,371,600
Ansh_
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:12:56
@Remavas
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:13:26
Let x be the time it takes Kenneth to wash the car alone ( as you did I presume)
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:13:43
First we need to determine what happens when both of them wash the car together
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a24edb43249c4550ba1a7f9385d6083e
510,789,298,321,096,700
TeXit
03/06/2022 07:13:58
**Nightsky**
https://cdn.discordapp.c…566508716083.png
946433566508716083.png
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TeXit
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:14:02
Yep
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:14:05
^
0
1
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help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:14:18
Hmm..
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:14:22
The time taken will be less?
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:14:31
Well of course, but we don't know by how much
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:14:49
we only know it will take 72 minutes
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:15:25
In this type of task, it is usually best if you look at the speeds of the people
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:15:55
Kenneth's speed is 1/x cars/min
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:16:03
Mario's speed is 1/(x-60) cars/min
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help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:16:07
How?
1
0
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:16:13
he finishes 1 car
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Remavas
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:16:16
in x minutes
0
1
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help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:16:24
Oh yes.. my bad.
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:16:42
So if they work together
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:16:48
What happens to their speeds?
0
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help-10
a24edb43249c4550ba1a7f9385d6083e
510,789,298,321,096,700
TeXit
03/06/2022 07:17:04
**Nightsky** ```latex \begin{gather*} \frac{1}{x} + \frac{1}{(x-60)} = 72 \end{gather*} ```
https://cdn.discordapp.c…566508716083.png
946433566508716083.png
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:17:08
?
1
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373,884,980,977,336,300
Remavas
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:17:15
Not quite.
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:17:18
Increases?
1
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:17:19
but almost
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:17:26
In exactly what way
0
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:17:35
What do you mean?
1
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:17:47
This one person's speed is a, and the other one's is b. So their speed together will be
0
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a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:18:05
a + b?
1
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373,884,980,977,336,300
Remavas
3737
Remavas
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1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:18:08
mhm
0
1
null
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1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:18:21
Do we know what speed they can achieve together?
0
1
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1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:18:34
Now we do.
1
0
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1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:18:56
But we also do from the task. When they both work together, they take 72 min to finish the car
0
1
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1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:19:06
And that's your equality
0
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help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:19:29
So what will be our final equation?
1
0
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1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
510,789,298,321,096,700
TeXit
03/06/2022 07:19:39
**Nightsky**
https://cdn.discordapp.c…566508716083.png
946433566508716083.png
0
1
null
null
null
null
null
1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:19:45
This?
1
0
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:19:48
1/x is Kenneth's speed
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373,884,980,977,336,300
Remavas
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Remavas
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:19:55
1/(x-60) is Mario's speed
0
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:20:14
And added together they must add up *to their speed together*
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Deleted User
0000
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a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:20:32
^
0
1
373,884,980,977,336,300
Remavas
3737
Remavas
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1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:20:44
What does this mean?
1
0
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:20:59
well what *is* their speed working together (finishing a car in 72 min)
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1
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help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:21:12
1/72?
1
0
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null
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1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:21:14
yep
0
1
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help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:21:23
Ah! I see... thank you so much!
1
0
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1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:21:49
There might be other ways, but this one will work great for most tasks of this type
0
1
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1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:22:02
What other ways are possible?
1
0
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null
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:22:21
At this time I couldn't tell you.
0
1
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1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:22:44
https://cdn.discordapp.c…566508716083.png
946433566508716083.png
1
0
null
null
null
null
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1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:22:47
What about this?
1
0
null
null
null
null
null
1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:23:02
,w 1/x + 1/(x-60) = 1/72
0
1
null
null
null
null
null
1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
510,789,298,321,096,700
TeXit
03/06/2022 07:23:05
Results provided by WolframAlpha
0
1
null
null
null
null
null
1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:23:11
,w x(x-60) = 72
0
1
null
null
null
null
null
1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
510,789,298,321,096,700
TeXit
03/06/2022 07:23:14
Results provided by WolframAlpha
0
1
null
null
null
null
null
1,060
help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:23:27
Well.. the answer is 'no' then.
1
0
373,884,980,977,336,300
Remavas
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Remavas
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:23:50
Also good side-note here
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1
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:24:04
x - 60 > 0
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help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:24:20
Yeah.. otherwise the equation will become undefined.
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help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:24:29
If I'm not wrong.
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:24:30
No, as you see you'll get a solution
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:24:36
But it won't make sense
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:24:46
That would mean Kenneth can finish a car in 24 minutes
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help-10
a24edb43249c4550ba1a7f9385d6083e
373,884,980,977,336,300
Remavas
03/06/2022 07:24:52
but Mario is actually hindering him
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help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:24:58
Ohhh...
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help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:25:01
I see.
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help-10
a24edb43249c4550ba1a7f9385d6083e
456,226,577,798,135,800
Deleted User
03/06/2022 07:25:02
Ty!
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help-10
a24edb43249c4550ba1a7f9385d6083e
706,934,233,012,371,600
Ansh_
03/06/2022 07:28:21
(@_@;)
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a24edb43249c4550ba1a7f9385d6083e
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Ansh_
03/06/2022 07:28:30
bad mario
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help-10
a24edb43249c4550ba1a7f9385d6083e
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Remavas
03/06/2022 07:30:47
Hey, not as bad when he's alone
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help-10
a24edb43249c4550ba1a7f9385d6083e
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Remavas
03/06/2022 07:31:03
Then he can unwash a car in 36 minutes
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TeXit
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help-10
1fe1ab238bdb4803a992a8e6a5ef25a7
231,419,337,771,057,150
Lenny
03/06/2022 08:03:38
@Syst3ms hey so i watched the videos but i don’t get why we are in 4dimensions
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help-10
1fe1ab238bdb4803a992a8e6a5ef25a7
231,419,337,771,057,150
Lenny
03/06/2022 08:03:49
https://cdn.discordapp.c…004/IMG_4853.png
IMG_4853.png
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help-10
1fe1ab238bdb4803a992a8e6a5ef25a7
193,692,307,453,771,780
Syst3ms
03/06/2022 08:05:57
Well, you have two dimensions for the input (the complex plane), and two dimensions for the output (yet again, the complex plane)
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help-10
1fe1ab238bdb4803a992a8e6a5ef25a7
193,692,307,453,771,780
Syst3ms
03/06/2022 08:06:07
So in theory, you'd need four dimensions to graph it properly
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help-10
1fe1ab238bdb4803a992a8e6a5ef25a7
231,419,337,771,057,150
Lenny
03/06/2022 08:10:50
oh so this in input and output?
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help-10
1fe1ab238bdb4803a992a8e6a5ef25a7
193,692,307,453,771,780
Syst3ms
03/06/2022 08:11:01
Yeah, the point is to graph a function
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help-10
1fe1ab238bdb4803a992a8e6a5ef25a7
193,692,307,453,771,780
Syst3ms
03/06/2022 08:11:07
like you'd do with y=f(x)
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help-10
1fe1ab238bdb4803a992a8e6a5ef25a7
231,419,337,771,057,150
Lenny
03/06/2022 08:11:24
but there we only show the output
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