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help-10
31e6d42e85f94479b7f7abc596e29cd3
510,789,298,321,096,700
TeXit
02/14/2022 21:07:24
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
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31e6d42e85f94479b7f7abc596e29cd3
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<><><>
02/14/2022 21:07:35
Get it over common denominator
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:07:16
yo
1
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:07:49
https://cdn.discordapp.c…2856/unknown.png
unknown.png
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:07:59
so im at this final step in my derivative
1
0
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:08:06
but i have no idea how to attack it
1
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:08:10
any help?
1
0
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help-10
40f3add1b12940cab70f54278f0def64
569,167,697,925,898,240
Camilleone
02/14/2022 22:08:18
what do you mean, 'attack it'?
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help-10
40f3add1b12940cab70f54278f0def64
569,167,697,925,898,240
Camilleone
02/14/2022 22:08:24
what do you need to do?
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:10:44
lol attack it just meant like approach the problem
1
0
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:10:51
just a jokey way of saying it
1
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:11:16
alright so let me update you. I managed to find the next step. it looks like this
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:11:57
https://cdn.discordapp.c…6232/unknown.png
unknown.png
1
0
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:12:03
how do I simplify this further?
1
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:12:09
thats all i need to do
1
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help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:12:27
mult. top and bottom by sqrt(x)
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help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:12:30
for one thing
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:12:37
oh got it
1
0
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:12:47
wait why sqrt x?
1
0
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:12:49
out of all things
1
0
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:13:01
like not -2sqrtx for example
1
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help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:13:07
you see the 1/(sqrt(x)) right?
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help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:13:11
i mean you could do that
0
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help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:13:19
but then you would have that on the bottom as well and it wouldn't look that nice
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:13:25
oh i see
1
0
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help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:13:41
actually
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help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:13:45
2sqrt(x) would prob be best
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help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:13:48
then you remove all the fractions
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:13:59
oh ok i see. ill try it and lyk
1
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:14:23
-2sqrtx or 2sqrtx
1
0
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:14:39
@Geopchad
1
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help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:14:48
whichever you see fit
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:14:51
hm
1
0
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:14:53
ok
1
0
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help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:15:10
do you want a negative on the bottom?
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:18:32
ok so
1
0
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:18:33
https://cdn.discordapp.c…3306/unknown.png
unknown.png
1
0
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697
help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:18:35
i got this
1
0
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697
help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:18:35
but
1
0
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697
help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:18:48
https://cdn.discordapp.c…9658/unknown.png
unknown.png
1
0
null
null
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null
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697
help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:18:54
this is the answer on the online calculator
1
0
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697
help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:19:32
im a little confused lol
1
0
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help-10
40f3add1b12940cab70f54278f0def64
343,265,069,003,440,100
$NATE
02/14/2022 22:22:30
@Geopchad
1
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Geopchad
6356
Geopchad
false
697
help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:23:08
why did you not multiply everything by 2sqrt(x)
0
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help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:23:12
https://cdn.discordapp.c…1342/unknown.png
unknown.png
0
1
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help-10
40f3add1b12940cab70f54278f0def64
328,662,734,008,746,000
Geopchad
02/14/2022 22:23:15
you left the 3 hanging
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help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 22:56:04
https://cdn.discordapp.c…662/IMG_0779.png
IMG_0779.png
1
0
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 22:56:05
here
1
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 22:56:27
why isn’t it $R_n > \int_{n + 1}^{\infty} f(x) \dd x$ instead
1
0
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
510,789,298,321,096,700
TeXit
02/14/2022 22:56:45
**Chromium**
https://cdn.discordapp.c…792763600896.png
701895792763600896.png
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 22:57:03
isn’t it guaranteed to overestimate
1
0
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
569,167,697,925,898,240
Camilleone
02/14/2022 23:04:00
it's an infinity thing, you can't say $R_n > \infty$
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
510,789,298,321,096,700
TeXit
02/14/2022 23:04:06
**Camilleone**
https://cdn.discordapp.c…697925898261.png
569167697925898261.png
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
569,167,697,925,898,240
Camilleone
02/14/2022 23:04:15
so if the thing on the right diverges to $\infty$
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
510,789,298,321,096,700
TeXit
02/14/2022 23:04:17
**Camilleone**
https://cdn.discordapp.c…697925898261.png
569167697925898261.png
0
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Geopchad
6356
Geopchad
false
698
help-10
04de249216ab499e9a3ef9f332e10b2b
569,167,697,925,898,240
Camilleone
02/14/2022 23:04:32
then you end up with $R_n = \infty$ also
0
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
510,789,298,321,096,700
TeXit
02/14/2022 23:04:36
**Camilleone**
https://cdn.discordapp.c…697925898261.png
569167697925898261.png
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
569,167,697,925,898,240
Camilleone
02/14/2022 23:05:22
there's also a second case, when $f(x) = 0$ for all $x$, in which case $R_n = 0$ and the RHS is also $0$, so it must be an equality
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
510,789,298,321,096,700
TeXit
02/14/2022 23:05:24
**Camilleone**
https://cdn.discordapp.c…697925898261.png
569167697925898261.png
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 23:05:56
but the integral test wouldn’t apply :sully:
1
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 23:06:22
aren’t we assuming the integral test is applicable here
1
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 23:06:32
and that the series (hence the integral) converges in the first place
1
0
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
569,167,697,925,898,240
Camilleone
02/14/2022 23:06:42
what is the exact statement of the integral test?
0
1
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 23:07:05
for +ve cont. dec f, series of f converges iff integral of f converges
1
0
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
569,167,697,925,898,240
Camilleone
02/14/2022 23:07:35
i'm going to write that in words cause it's painful to read
0
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
569,167,697,925,898,240
Camilleone
02/14/2022 23:08:53
in fact the true statement is somewhat more
0
1
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 23:08:58
wdym
1
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help-10
04de249216ab499e9a3ef9f332e10b2b
569,167,697,925,898,240
Camilleone
02/14/2022 23:10:21
Let $N\in\bN$ and $f$ be a monotonically decreasing function on some unbounded interval $[N,\infty)$. Then, $$\sum_{n=N}^\infty f(n) < \infty \iff \int_N^\infty f(x) dx < \infty.$$
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
510,789,298,321,096,700
TeXit
02/14/2022 23:10:24
**Camilleone**
https://cdn.discordapp.c…697925898261.png
569167697925898261.png
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 23:10:35
not strictly decreasing?
1
0
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
569,167,697,925,898,240
Camilleone
02/14/2022 23:10:41
no need
0
1
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help-10
04de249216ab499e9a3ef9f332e10b2b
569,167,697,925,898,240
Camilleone
02/14/2022 23:11:07
continuity isn't strictly needed also, but in anywhere before advanced real analysis, you will assume continuity
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TeXit
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help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 23:12:24
any examples?
1
0
510,789,298,321,096,700
TeXit
0796
TeXit
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help-10
04de249216ab499e9a3ef9f332e10b2b
569,167,697,925,898,240
Camilleone
02/14/2022 23:12:34
$f\equiv 0$
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help-10
04de249216ab499e9a3ef9f332e10b2b
510,789,298,321,096,700
TeXit
02/14/2022 23:12:44
**Camilleone**
https://cdn.discordapp.c…697925898261.png
569167697925898261.png
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 23:13:08
what’s the integral of 0 😦
1
0
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
569,167,697,925,898,240
Camilleone
02/14/2022 23:13:28
0
0
1
null
null
null
null
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698
help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 23:26:45
alright
1
0
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help-10
04de249216ab499e9a3ef9f332e10b2b
701,895,792,763,600,900
s_chanch
02/14/2022 23:26:48
.close
1
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569,167,697,925,898,240
Camilleone
1596
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false
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:18:18
Is there any way of solving this problem withhout guessing?
https://cdn.discordapp.c…7150/unknown.png
unknown.png
1
0
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null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:21:41
algebraaaaa
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:22:20
variables are THE tool for replacing unknowns, so you can use em here where there are unknowns
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:22:29
ok
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
328,662,734,008,746,000
Geopchad
02/15/2022 00:31:43
could also be a constant (general antiderivative of 0 would be a constant as a constant has a slope of 0)
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:32:24
aight coolio
1
0
569,167,697,925,898,240
Camilleone
1596
Camilleone
false
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:32:24
I just said
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:32:27
for 1.
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:32:31
you can put in variablpes
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:32:36
cause it didnt specify to solve it
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:32:52
woah what do you mean?
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:33:31
I mean, it at least asked for one solution right? Although it's true it didn't ask for all of them
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:34:44
I think the problem is a little poorly worded, but it seems to be heavily implied that there are some numbers that could go in those blanks that you can find
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:35:02
these math questons for real got me doing english analytical essays
1
0
703,317,182,683,021,400
duckecheese
2551
duckecheese
false
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:35:37
I'm just going to tell my math teacher to help me on this because he's got the explanations on the teacher guide
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:35:48
Thank you zd for the help
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:36:17
Did you try what I mentioned? I think you might find it cool @duckecheese
0
1
701,895,792,763,600,900
s_chanch
2633
s_chanch
false
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:36:22
and yw
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:37:11
yea i filled it in with variables but im skipping it for now because i dont know what to do after that LOL
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:37:27
what did you call the variables? I can help you out
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:37:37
just a b and c
1
0
null
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