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699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:37:53
cool so you have (a-2i)(b+2i) = c - 10i right
0
1
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help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:38:02
Yes
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duckecheese
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help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:38:08
Well you may know every complex number is of the form a real plus an imaginary right
0
1
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699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:38:14
of course
1
0
null
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699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:38:15
so you can simplify that left hand side into such a form
0
1
null
null
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699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:38:20
and equate it with c - 10i
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:38:30
Ok
1
0
null
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699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:38:41
so i basically use foil
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703,317,182,683,021,400
duckecheese
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duckecheese
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699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:38:48
sure!
0
1
null
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699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:38:52
ok
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:39:26
wait
1
0
null
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699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:39:38
what would the answer be when you multiply a * 2i
1
0
null
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699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:39:51
precisely that
0
1
null
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699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:39:57
makes sense
1
0
null
null
null
null
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699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:40:03
but written more cleanly would be 2ai
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:40:09
Oh fr
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:40:13
i just add the variable
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:40:16
sweet
1
0
null
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699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:40:56
if by "add" you mean "add to how it's written" then yeah!
0
1
null
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699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:41:06
yes
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:41:39
i got ab + 2ai - 2bi - 4 is
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:41:43
is this correct
1
0
null
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null
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699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:42:03
what's -2i(2i)
0
1
null
null
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null
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699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:42:18
which is one of the terms you get from multiplying everything out
0
1
null
null
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null
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699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:42:32
I would look at that one closely again
0
1
null
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699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:42:54
oops
1
0
null
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null
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699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:43:04
ab + 2ai - 2bi +4
1
0
null
null
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null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:43:10
looks good
0
1
null
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699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:43:23
ab + 2ai - 2bi - 4 is= c-10i
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:43:26
oops
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:43:31
ab + 2ai - 2bi - 4 = c-10i
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:44:44
I think you meant to put +4 but that's just a nitpick at this point
0
1
null
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699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:44:49
so to proceed with anything useful here we will have to assume a b and c are real: we're going to use the fact that two complex numbers are equal exactly when their real parts are equal, and their imaginary parts are equal.
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1
null
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699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:44:55
probaly cause i copy and pasted
1
0
null
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null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:44:58
lulul
0
1
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699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:45:01
all good
0
1
null
null
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null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:45:28
bro if im being honest
1
0
null
null
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null
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699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:45:40
can you say this in caveman words
1
0
null
null
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null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:46:08
two thing same when left parts are same and when right parts are same
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:47:02
Basically writing (ab+4) + (2a-2b)i = c + (-10)i we can make some inferences
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:47:31
you'll see I pulled out a factor of i on some terms on the left, lmk if I did anything too fast
0
1
null
null
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null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:47:40
i see
1
0
null
null
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null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:48:03
So if a,b,c are real, then ab+4 = c, and 2a-2b = -10
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:48:22
oh
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
209,443,096,990,187,520
zd
02/15/2022 00:48:24
from there I think you got this, try solving for one of the variables
0
1
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:48:28
kk
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:52:05
I'm going to comeback to this question because my homework due in like 8 minutes 😢 but its light work quetsions from there
1
0
null
null
null
null
null
699
help-10
fb84f9cd4693438685d85b640483461c
703,317,182,683,021,400
duckecheese
02/15/2022 00:52:25
https://cdn.discordapp.c…1008/unknown.png
unknown.png
1
0
null
null
null
null
null
700
help-10
bacb70bd78cf406088a543d87f99fe72
343,265,069,003,440,100
$NATE
02/15/2022 01:10:51
sometimes I surprise myself too
1
0
null
null
null
null
null
700
help-10
bacb70bd78cf406088a543d87f99fe72
343,265,069,003,440,100
$NATE
02/15/2022 01:10:57
😂 thanks
1
0
209,443,096,990,187,520
zd
4527
zd
false
700
help-10
bacb70bd78cf406088a543d87f99fe72
328,662,734,008,746,000
Geopchad
02/15/2022 01:11:13
you're welcome
0
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703,317,182,683,021,400
duckecheese
2551
duckecheese
false
700
help-10
bacb70bd78cf406088a543d87f99fe72
328,662,734,008,746,000
Geopchad
02/15/2022 01:11:15
use .close if you have no more questions
0
1
null
null
null
null
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700
help-10
bacb70bd78cf406088a543d87f99fe72
343,265,069,003,440,100
$NATE
02/15/2022 01:14:06
actually
1
0
null
null
null
null
null
700
help-10
bacb70bd78cf406088a543d87f99fe72
343,265,069,003,440,100
$NATE
02/15/2022 01:14:09
so i have question still
1
0
null
null
null
null
null
700
help-10
bacb70bd78cf406088a543d87f99fe72
343,265,069,003,440,100
$NATE
02/15/2022 01:14:18
i just went to eat food this whole time so thats why i lagged on you
1
0
null
null
null
null
null
700
help-10
bacb70bd78cf406088a543d87f99fe72
343,265,069,003,440,100
$NATE
02/15/2022 01:14:47
https://cdn.discordapp.c…9970/unknown.png
unknown.png
1
0
null
null
null
null
null
700
help-10
bacb70bd78cf406088a543d87f99fe72
343,265,069,003,440,100
$NATE
02/15/2022 01:14:51
i got this now
1
0
null
null
null
null
null
700
help-10
bacb70bd78cf406088a543d87f99fe72
343,265,069,003,440,100
$NATE
02/15/2022 01:15:00
but it still isnt this:
1
0
null
null
null
null
null
700
help-10
bacb70bd78cf406088a543d87f99fe72
343,265,069,003,440,100
$NATE
02/15/2022 01:15:09
https://cdn.discordapp.c…1030/unknown.png
unknown.png
1
0
null
null
null
null
null
700
help-10
bacb70bd78cf406088a543d87f99fe72
343,265,069,003,440,100
$NATE
02/15/2022 01:15:33
and idk what I did wrong
1
0
null
null
null
null
null
700
help-10
bacb70bd78cf406088a543d87f99fe72
343,265,069,003,440,100
$NATE
02/15/2022 01:15:47
@Geopchad
1
0
328,662,734,008,746,000
Geopchad
6356
Geopchad
false
701
help-10
5c41bbeb4cb241a193c07203056e89c3
195,844,111,050,211,330
Rafain
02/15/2022 01:49:41
The first few rows were hard to follow due to missing/misplaced brackets, but it's fine - the last line was correct
1
0
null
null
null
null
null
701
help-10
5c41bbeb4cb241a193c07203056e89c3
195,844,111,050,211,330
Rafain
02/15/2022 01:50:01
However, this does not follow from the last line of the previous picture
1
0
null
null
null
null
null
701
help-10
5c41bbeb4cb241a193c07203056e89c3
195,844,111,050,211,330
Rafain
02/15/2022 01:50:39
Compute correctly and you may find the desired result
1
0
null
null
null
null
null
701
help-10
5c41bbeb4cb241a193c07203056e89c3
195,844,111,050,211,330
Rafain
02/15/2022 01:50:40
.close
1
0
null
null
null
null
null
702
help-10
93b923a8dd164d12b8dbbb0d07ef4f91
456,226,577,798,135,800
Deleted User
11/07/2021 06:20:06
,calculate 3-m
1
0
null
null
null
null
null
702
help-10
93b923a8dd164d12b8dbbb0d07ef4f91
510,789,298,321,096,700
TeXit
11/07/2021 06:20:07
The following error occured while calculating: `Error: Undefined symbol ulate`
0
1
null
null
null
null
null
702
help-10
93b923a8dd164d12b8dbbb0d07ef4f91
183,668,144,404,037,630
Ann
11/07/2021 06:24:34
.close
0
1
null
null
null
null
null
704
help-10
95123be2026e43f288e7240bc24ef8dd
297,661,253,936,218,100
LuckyDucky
02/15/2022 02:58:11
https://cdn.discordapp.c…3426/unknown.png
unknown.png
1
0
null
null
null
null
null
704
help-10
95123be2026e43f288e7240bc24ef8dd
297,661,253,936,218,100
LuckyDucky
02/15/2022 02:58:14
why is the angle pi/4
1
0
null
null
null
null
null
704
help-10
95123be2026e43f288e7240bc24ef8dd
297,661,253,936,218,100
LuckyDucky
02/15/2022 03:13:23
@Helpers
1
0
null
null
null
null
null
704
help-10
95123be2026e43f288e7240bc24ef8dd
297,661,253,936,218,100
LuckyDucky
02/15/2022 03:24:42
@Helpers
1
0
null
null
null
null
null
704
help-10
95123be2026e43f288e7240bc24ef8dd
195,844,111,050,211,330
Rafain
02/15/2022 03:31:50
Let the angle be $\theta\in(-\pi,\pi]$. Then $$\text{Re}(a+ai)=a>0\implies\theta\in(-\frac{\pi}{2},\frac{\pi}{2})$$ and $$\text{Im}(a+ai)=a>0\implies\theta\in(0,\pi).$$ Hence $\theta\in(0,\frac{\pi}{2})$. In addition, $$\tan(\theta)=\frac{\text{Im}(a+ai)}{\text{Re}(a+ai)}=\frac{a}{a}=1;$$ hence $\theta=\frac{\pi}{4}$.
0
1
328,662,734,008,746,000
Geopchad
6356
Geopchad
false
704
help-10
95123be2026e43f288e7240bc24ef8dd
510,789,298,321,096,700
TeXit
02/15/2022 03:31:54
**Rafain**
https://cdn.discordapp.c…111050211330.png
195844111050211330.png
0
1
343,265,069,003,440,100
$NATE
9839
$NATE
false
704
help-10
95123be2026e43f288e7240bc24ef8dd
297,661,253,936,218,100
LuckyDucky
02/15/2022 03:33:03
ohh
1
0
343,265,069,003,440,100
$NATE
9839
$NATE
false
704
help-10
95123be2026e43f288e7240bc24ef8dd
297,661,253,936,218,100
LuckyDucky
02/15/2022 03:33:04
thank you sm
1
0
null
null
null
null
null
704
help-10
95123be2026e43f288e7240bc24ef8dd
297,661,253,936,218,100
LuckyDucky
02/15/2022 03:33:21
.close
1
0
null
null
null
null
null
705
help-10
4091ca9950fc43aea2ae33db735147d5
814,277,232,125,280,400
Ace_Critical
02/15/2022 04:01:08
help
1
0
null
null
null
null
null
705
help-10
4091ca9950fc43aea2ae33db735147d5
814,277,232,125,280,400
Ace_Critical
02/15/2022 04:01:21
can anyone solve this
1
0
null
null
null
null
null
705
help-10
4091ca9950fc43aea2ae33db735147d5
814,277,232,125,280,400
Ace_Critical
02/15/2022 04:02:35
https://cdn.discordapp.c…6136/unknown.png
unknown.png
1
0
null
null
null
null
null
705
help-10
4091ca9950fc43aea2ae33db735147d5
183,668,144,404,037,630
Ann
02/15/2022 04:04:46
which part
0
1
null
null
null
null
null
705
help-10
4091ca9950fc43aea2ae33db735147d5
814,277,232,125,280,400
Ace_Critical
02/15/2022 04:04:57
1 - 7
1
0
null
null
null
null
null
705
help-10
4091ca9950fc43aea2ae33db735147d5
183,668,144,404,037,630
Ann
02/15/2022 04:05:00
...
0
1
null
null
null
null
null
705
help-10
4091ca9950fc43aea2ae33db735147d5
814,277,232,125,280,400
Ace_Critical
02/15/2022 04:05:02
im really struggling
1
0
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Ann
02/15/2022 04:05:10
okay so like, do you want *help* or do you want someone to do this for you
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Ace_Critical
02/15/2022 04:06:02
both
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help-10
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Ann
02/15/2022 04:06:22
we don't do other ppl's homework here
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Ann
02/15/2022 04:06:35
okay so like
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Ann
02/15/2022 04:06:38
as far as helping you goes
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Ace_Critical
02/15/2022 04:06:45
ok
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help-10
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Ann
02/15/2022 04:07:02
do you understand what "\_\_\_ property of equality" means
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help-10
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Ann
02/15/2022 04:07:13
where the blank is one of the four arithmetic operations
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help-10
4091ca9950fc43aea2ae33db735147d5
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Ace_Critical
02/15/2022 04:07:45
no i am having a hard time understanding
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Ann
02/15/2022 04:08:23
has your teacher not explained such concepts as "adding the same thing to both sides", "multiplying the same thing to both sides" etc?
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jeqx
02/15/2022 04:52:32
may i know if the question is changed to -7854, 2772, do we still have the exact same steps? since gcd(-7854,2772) = gcd(7854, 2772)? or we cant do it with the exact same steps because this is finding the linear combination
https://cdn.discordapp.c…6170/unknown.png
unknown.png
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aadi1209
02/15/2022 04:56:22
Yes. The same step.
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aadi1209
02/15/2022 04:57:44
The quotient should be taken such that the remainder is non negative and smaller than divisor.
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aadi1209
02/15/2022 04:59:05
I don't mean "same" . I mean "Similar"
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jeqx
02/15/2022 05:06:30
sorry which part ya, i dont get it
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aadi1209
02/15/2022 05:11:54
In the third line of solution. That is first equation. Here you put - 7854 in place of 7854. Now you should select a quotient with 2772 ( in the solution quotient is 2) so that the remainder that comes out should be positive and lesser than divisor (that is 2772)
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