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197
help-10
d76a73646c034e80904d6e193e371358
220,517,274,845,577,200
ramonov
01/20/2022 21:29:18
you put 8x^2 instead of 8x^3 into the wolf
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
758,350,848,115,212,300
Quasar
01/20/2022 21:29:20
Equation.
0
1
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null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:29:25
oh 😄
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:29:45
,w x^4 + 8x^3 + 20x^2 + 16x -5 =0
0
1
null
null
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null
197
help-10
d76a73646c034e80904d6e193e371358
510,789,298,321,096,700
TeXit
01/20/2022 21:29:48
Results provided by WolframAlpha
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:29:54
:hype:
0
1
null
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null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:30:04
something to work backwards from
0
1
null
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null
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197
help-10
d76a73646c034e80904d6e193e371358
200,013,547,491,688,450
a disappointing son
01/20/2022 21:30:04
factors into quadratics lol
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:30:07
yea
0
1
null
null
null
null
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197
help-10
d76a73646c034e80904d6e193e371358
758,350,848,115,212,300
Quasar
01/20/2022 21:31:23
The imaginary points of intersection will not be present on the real axes graph
0
1
null
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197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:31:42
:sadcat:
1
0
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:31:46
https://cdn.discordapp.c…1630/unknown.png
unknown.png
1
0
null
null
null
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null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:31:47
thats fine
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:31:50
Is this is equaled?
1
0
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:31:59
@Shazam this is like
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:32:04
taking f(x) = g(x)
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:32:06
then subtracting
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:32:09
so f(x) - g(x) = 0
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
200,013,547,491,688,450
a disappointing son
01/20/2022 21:32:27
the first line should say 4x^2 not 4^2
0
1
511,338,424,100,192,260
Shazam
3953
Shazam
false
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:33:28
this doesnt make sense
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:33:29
:thonk:
0
1
null
null
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null
197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:33:37
dang
1
0
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null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:33:51
but
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:33:54
process is good
0
1
511,338,424,100,192,260
Shazam
3953
Shazam
false
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:33:58
i think you may have tripped yourself up
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:34:01
with that 4^2 thing
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:34:05
you should try that again
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:37:54
https://cdn.discordapp.c…3299/unknown.png
unknown.png
1
0
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:37:57
how about now?
1
0
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null
197
help-10
d76a73646c034e80904d6e193e371358
200,013,547,491,688,450
a disappointing son
01/20/2022 21:39:24
where'd the 4x^2 go
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:43:29
My mistake
1
0
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help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:43:32
so basically
1
0
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197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:43:40
its going overa and being added to the 16
1
0
null
null
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197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:43:52
And the seond line is supposed to be twenty
1
0
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197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:43:56
lemme correct
1
0
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:44:08
hmm
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:44:13
i have the factored polynomial
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:44:18
trying to think of how youd get here though
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:44:19
:thonk:
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:45:00
This is what the second line down is supposed to be
1
0
null
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197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:45:51
https://cdn.discordapp.c…4546/unknown.png
unknown.png
1
0
null
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null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:50:10
cool
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:50:15
i think i figured out how to do it
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:50:16
:hype:
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:50:23
well maybe theres an easier way but i think i figured one out
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:50:39
@a disappointing son are you still helping?
0
1
null
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null
197
help-10
d76a73646c034e80904d6e193e371358
200,013,547,491,688,450
a disappointing son
01/20/2022 21:50:53
i still can't find a way to factor it lol, go ahead
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:51:01
okay so heres my thought
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:51:09
@Shazam
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:51:14
you look at a couple things
0
1
200,013,547,491,688,450
a disappointing son
0540
a disappointing son
false
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:51:24
first you have to recognize that we expect f(x) - g(x) = 0 to have 2 real roots
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:51:30
and theyre gonna be different
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:51:47
we only see two places they cross , so we expect distance to onnly equal 0 twice
0
1
511,338,424,100,192,260
Shazam
3953
Shazam
false
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:51:58
and theyre different
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:52:04
okay, second thing:
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:52:12
the coefficient of your x^4 term is 1
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:52:26
third thing: 5 only factors a couple ways, so we can guess the ones
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:52:36
our factored equation has the form then
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:52:55
$f(x) - g(x) = (x^2 +bx + 5)(x^2 +dx -1)$
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
510,789,298,321,096,700
TeXit
01/20/2022 21:52:58
**jan Niku**
https://cdn.discordapp.c…346333224964.png
331558346333224964.png
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:53:05
now, it could be -5 and +1
0
1
null
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:53:09
i think you just have to guess :thonk:
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:53:25
then, you multiply this out
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:53:30
and you equate coefficients
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:54:08
$x^4 + (b+d)x^2 + (5-1+db)x^2 +(5b-d)x - 5 = x^4 +8x^3 +20x^2 +16x -5$
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
510,789,298,321,096,700
TeXit
01/20/2022 21:54:11
**jan Niku**
https://cdn.discordapp.c…346333224964.png
331558346333224964.png
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:54:27
we may extract a linear system of equations from this
0
1
null
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:55:00
$\left( \begin{tabular}{cc|c} 1 & 1 & 8 \\ 5 & -1 & 16 \end{tabular} \right)$
0
1
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null
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null
197
help-10
d76a73646c034e80904d6e193e371358
510,789,298,321,096,700
TeXit
01/20/2022 21:55:03
**jan Niku**
https://cdn.discordapp.c…346333224964.png
331558346333224964.png
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:55:06
for b and d
0
1
null
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null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:55:12
there is only one solution
0
1
null
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null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:55:14
$b=d=4$
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
510,789,298,321,096,700
TeXit
01/20/2022 21:55:18
**jan Niku**
https://cdn.discordapp.c…346333224964.png
331558346333224964.png
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:55:36
then $f(x)-g(x) = (x^2 + 4x - 1)(x^2 + 4x + 5)$
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
510,789,298,321,096,700
TeXit
01/20/2022 21:55:39
**jan Niku**
https://cdn.discordapp.c…346333224964.png
331558346333224964.png
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:55:40
this gives you your intersections
0
1
null
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:55:42
😊
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:55:55
i think if you guess wrong
0
1
null
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null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:56:01
well idk i havent checked since i guessed right
0
1
null
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null
197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:56:23
So its all on my guess ;.;
1
0
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:56:27
no
0
1
null
null
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null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:56:38
the only guess is whether its -5 and 1
0
1
null
null
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:56:40
or -1 and 5
0
1
null
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null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:56:45
lemme see what happens
0
1
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:56:48
that was a lot :blobsweat:
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:56:51
did you track all that
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:56:52
Okay
1
0
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:57:00
or is there a place youre confused
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:57:04
:angerysad:
1
0
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:57:08
Im reading it over
1
0
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 21:57:10
and understanding
1
0
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:57:11
or look it over and
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:57:12
yea
0
1
331,558,346,333,224,960
jan Niku
2119
jan Niku
false
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:57:13
no prob
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 21:57:16
ill check if you guess wrong
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:00:04
hmm
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:00:15
you dont get integer solutions to the system
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:00:17
thats a bad sign
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:00:35
oh
0
1
null
null
null
null
null
197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:00:46
if you guess wrong on factoring -5, the numbers dont work out for the x^2 term
0
1
null
null
null
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null