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help-10
a0b735bddf48401e9e86a213836dd4df
921,919,111,376,806,000
bluejays123
03/20/2022 11:18:14
Ok
1
0
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null
null
1,366
help-10
a0b735bddf48401e9e86a213836dd4df
373,884,980,977,336,300
Remavas
03/20/2022 11:18:19
Now, if you can't arrive at the solution that way
0
1
714,186,370,934,898,700
xihiro
2299
xihiro
false
1,366
help-10
a0b735bddf48401e9e86a213836dd4df
373,884,980,977,336,300
Remavas
03/20/2022 11:18:22
your solution is wrong
0
1
373,884,980,977,336,300
Remavas
3737
Remavas
false
1,366
help-10
a0b735bddf48401e9e86a213836dd4df
373,884,980,977,336,300
Remavas
03/20/2022 11:18:29
And depends on your choice of initial x
0
1
null
null
null
null
null
1,366
help-10
a0b735bddf48401e9e86a213836dd4df
921,919,111,376,806,000
bluejays123
03/20/2022 11:20:42
Yeah its impossible
1
0
null
null
null
null
null
1,366
help-10
a0b735bddf48401e9e86a213836dd4df
921,919,111,376,806,000
bluejays123
03/20/2022 11:20:46
Anyways i gtg eat
1
0
373,884,980,977,336,300
Remavas
3737
Remavas
false
1,366
help-10
a0b735bddf48401e9e86a213836dd4df
921,919,111,376,806,000
bluejays123
03/20/2022 11:20:49
Ty tho
1
0
null
null
null
null
null
1,366
help-10
a0b735bddf48401e9e86a213836dd4df
921,919,111,376,806,000
bluejays123
03/20/2022 11:20:54
.close
1
0
null
null
null
null
null
1,367
help-10
ddb9846b960d4aef8db4292505d6de9a
373,884,980,977,336,300
Remavas
03/20/2022 11:21:02
....
1
0
null
null
null
null
null
1,367
help-10
ddb9846b960d4aef8db4292505d6de9a
373,884,980,977,336,300
Remavas
03/20/2022 11:21:49
And this is why we don't assume things for no reason
1
0
null
null
null
null
null
1,367
help-10
ddb9846b960d4aef8db4292505d6de9a
618,031,294,189,797,400
adamchebil33
03/20/2022 12:57:46
What does dx mean in the integral notation??
0
1
null
null
null
null
null
1,367
help-10
ddb9846b960d4aef8db4292505d6de9a
618,031,294,189,797,400
adamchebil33
03/20/2022 12:58:02
How come we can chande it to dt or du...
0
1
null
null
null
null
null
1,367
help-10
ddb9846b960d4aef8db4292505d6de9a
748,029,603,087,384,700
Yours truly
03/20/2022 12:58:14
Basically you're calculating area where dx is the width.
0
1
373,884,980,977,336,300
Remavas
3737
Remavas
false
1,367
help-10
ddb9846b960d4aef8db4292505d6de9a
748,029,603,087,384,700
Yours truly
03/20/2022 12:58:19
Long short story.
0
1
null
null
null
null
null
1,367
help-10
ddb9846b960d4aef8db4292505d6de9a
618,031,294,189,797,400
adamchebil33
03/20/2022 12:59:15
so we always put the variable of the function?
0
1
null
null
null
null
null
1,367
help-10
ddb9846b960d4aef8db4292505d6de9a
748,029,603,087,384,700
Yours truly
03/20/2022 12:59:55
Yes, always.
0
1
null
null
null
null
null
1,367
help-10
ddb9846b960d4aef8db4292505d6de9a
618,031,294,189,797,400
adamchebil33
03/20/2022 12:59:58
I mean if we replace f(x) with f(t) then we must write dt?
0
1
373,884,980,977,336,300
Remavas
3737
Remavas
false
1,367
help-10
ddb9846b960d4aef8db4292505d6de9a
748,029,603,087,384,700
Yours truly
03/20/2022 13:00:06
Affirmative.
0
1
null
null
null
null
null
1,367
help-10
ddb9846b960d4aef8db4292505d6de9a
618,031,294,189,797,400
adamchebil33
03/20/2022 13:00:14
Oh ok thnx
0
1
null
null
null
null
null
1,367
help-10
ddb9846b960d4aef8db4292505d6de9a
618,031,294,189,797,400
adamchebil33
03/20/2022 13:00:17
.close
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
373,884,980,977,336,300
Remavas
03/20/2022 13:00:27
except when you don't
1
0
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
748,029,603,087,384,700
Yours truly
03/20/2022 13:00:33
Yeah lol.
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
748,029,603,087,384,700
Yours truly
03/20/2022 13:00:46
Rip.
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
618,031,294,189,797,400
adamchebil33
03/20/2022 13:00:59
huh?
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
373,884,980,977,336,300
Remavas
03/20/2022 13:01:07
Don't worry about it for now
1
0
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
373,884,980,977,336,300
Remavas
03/20/2022 13:01:13
When you encounter it, worry then.
1
0
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
748,029,603,087,384,700
Yours truly
03/20/2022 13:01:32
Right.
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
618,031,294,189,797,400
adamchebil33
03/20/2022 13:01:35
but it doesn't mean anything if they're not the same
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
618,031,294,189,797,400
adamchebil33
03/20/2022 13:01:52
so it can be f(x).du?
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
198,191,547,970,355,200
sills
03/20/2022 13:02:48
i suggest finding a video explaining what dx is
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
198,191,547,970,355,200
sills
03/20/2022 13:02:52
it will help
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
618,031,294,189,797,400
adamchebil33
03/20/2022 13:03:18
i tried but i couldn't find a direct answer
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
618,031,294,189,797,400
adamchebil33
03/20/2022 13:03:32
I think i already encountered it
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
618,031,294,189,797,400
adamchebil33
03/20/2022 13:03:37
https://cdn.discordapp.c…egrals_error.png
integrals_error.png
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
186,109,587,366,215,680
Omegabet_
03/20/2022 13:04:08
"formally" it's just a infitesimal change in the variable
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
618,031,294,189,797,400
adamchebil33
03/20/2022 13:05:05
kk i'll search more online
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
618,031,294,189,797,400
adamchebil33
03/20/2022 13:05:07
.close
0
1
null
null
null
null
null
1,368
help-10
6bd5d45975404e859d24c6507ba5502e
646,420,998,685,458,400
Thano$
03/20/2022 13:35:54
I only require assistance to find the answers of (b) and (c)
https://cdn.discordapp.c…865/IMG_2419.png
IMG_2419.png
0
1
null
null
null
null
null
1,369
help-10
753f767cccb5403692eedc1af7e6aad9
510,789,298,321,096,700
TeXit
11/09/2021 23:52:58
**papaustin**
https://cdn.discordapp.c…037029138432.png
132691037029138432.png
1
0
748,029,603,087,384,700
Yours truly
3785
What the hell am I doing here?
false
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:03:18
.help
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:03:47
https://cdn.discordapp.c…5918/unknown.png
unknown.png
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
797,077,265,472,290,800
MO
03/20/2022 14:13:05
What’s A zero
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
797,077,265,472,290,800
MO
03/20/2022 14:13:11
Roots ?
0
1
null
null
null
null
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1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
797,077,265,472,290,800
MO
03/20/2022 14:13:25
?
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:14:14
a value of x for which the ans of polynomial will be 0
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:21:17
@DevilKing06 That polynomial looks easy to factor.
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:21:35
idk how to factor polynomial
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:21:37
of degree 3
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:21:53
and that method wont come in exam
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:22:04
and i want to just get good marks in exam
1
0
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null
null
null
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help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:22:04
Well, you can see that the x³ term has a coefficient of 1 and that x term has a coefficient 5 times higher.
0
1
373,884,980,977,336,300
Remavas
3737
Remavas
false
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:22:22
OK, then you can divide the polynomial by x - sqrt(5).
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:22:36
Then it will be degree 2 and you can solve using quadratic polynomial methods.
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:22:58
when i divided
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:23:01
quotient was
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:23:19
x^2-2 root5 x - 15
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:23:37
then i need help in factorizing it
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:26:54
@DevilKing06 Do you know the quadratic formula?
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:27:01
not yet
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:27:06
will be taught in a few months
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:28:33
OK, then the easiest way is to go back to the starting point.
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:29:18
x³ - 3sqrt(5)x² - 5x + 15sqrt(5)
0
1
583,177,990,947,471,400
DevilKing06
8191
DevilKing06
false
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:29:26
Do you see how it has four terms?
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:29:43
And there's a pattern, the second term in each half has sqrt(5).
0
1
583,177,990,947,471,400
DevilKing06
8191
DevilKing06
false
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:30:00
Do you see that pattern?
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:30:51
@DevilKing06
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:33:39
ok
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:33:43
yup
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:34:10
OK, so now we check whether the first half's coefficients are some multiple of the second half.
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:34:48
So, the coefficients are 1, -3sqrt(5) on the first half and -5, 15sqrt(5) on the second half.
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:34:57
You can multiply the first half by -5 to get the second half.
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:35:04
ok
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:35:27
Like 1 times -5 is -5 and -3sqrt(5) times -5 is 15sqrt(5).
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:35:49
basically, (co efficient of 1st half )*-5 = co efficient of 2nd half
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:35:58
Almost, -5.
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:36:00
But yes.
0
1
583,177,990,947,471,400
DevilKing06
8191
DevilKing06
false
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:36:16
~~So, the exponents are two higher on the left half.~~
0
1
537,482,727,557,955,600
Chai T. Rex
7323
Chai T. Rex
false
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:36:22
Actually, forget that.
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:36:54
So, we have x²(x - 3sqrt(5)) - 5(x - 3sqrt(5)).
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:37:05
Does it make sense how I got those?
0
1
null
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null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:37:10
yup
1
0
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null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:37:26
So, we have (x² - 5)(x - 3sqrt(5)).
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1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:37:34
ok
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:37:47
root 5
1
0
583,177,990,947,471,400
DevilKing06
8191
DevilKing06
false
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:37:51
One of the factors is linear, so we're done with that one.
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1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:37:52
is 1 zero
1
0
537,482,727,557,955,600
Chai T. Rex
7323
Chai T. Rex
false
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:38:00
Nope.
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1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:38:08
For x² - 5, use difference of squares.
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help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:38:18
a² - b² = (a + b)(a - b)
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1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:38:28
but why
1
0
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null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:38:39
Because we can write it as x² - sqrt(5)².
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help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:38:58
Then we get (x + sqrt(5))(x - sqrt(5)).
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1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:39:09
Does it make sense how the difference of squares factoring method works here?
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1
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help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:39:25
Or have you covered the difference of squares factoring method?
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help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:39:29
i understand that you used the identity
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help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:39:44
Yes, and to use it, we need two squared things subtracted.
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help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:39:48
and 5 = sqrt(5) ^2
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help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:39:59
i know that much bro...
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:40:03
i am not that dumb
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:41:00
So, we use it here to get (x + sqrt(5))(x - sqrt(5))(x - 3sqrt(5)).
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