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help-10
fd6b3da6ffa845778122f81caea5bca3
186,109,587,366,215,680
Omegabet_
10/29/2021 16:09:18
because y=0 is the equilibrium solution
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Shmoich
10/29/2021 16:09:25
The book I'm using says "Be sure to state the common interval for which the solution and diffeq make sense"
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Mr.Darkside
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Shmoich
10/29/2021 16:09:39
what does that mean
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fd6b3da6ffa845778122f81caea5bca3
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Shmoich
10/29/2021 16:10:00
sorry if thats a dumb question the book hasnt used that term
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fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:10:03
if y=0, y'=0 so 0=0 means it's a solution for initial condition y(0)=0
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:10:16
equilibrium solutions are constant solutions.
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fd6b3da6ffa845778122f81caea5bca3
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Shmoich
10/29/2021 16:11:32
if its a constant solution why is it excluded from the interval
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Shmoich
10/29/2021 16:11:41
im not following
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fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:11:46
cause you start on an equilibrium, so you stay on the equilbrium
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:11:52
instead of following a curved path
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Shmoich
10/29/2021 16:14:33
sorry you need to dumb this down more. Is it similar to how in a piecewise function there can be a solution to both "parts" of the function but a discontinuity still exists?
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fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:14:57
alternatively when you actually solve the DE you have to divide by x, so you remove the fact x=0 from the y=x^2 solution
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:15:32
no, DE has solutions depending on the initial condition ie depending on where you start dictates what curve is the solution
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Shmoich
10/29/2021 16:16:10
do you have a visual example?
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fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:16:15
sure
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:16:19
$xy'=2y$
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help-10
fd6b3da6ffa845778122f81caea5bca3
510,789,298,321,096,700
TeXit
10/29/2021 16:16:21
**Mosh**
https://cdn.discordapp.c…587366215691.png
186109587366215691.png
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fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:17:37
if y=0, then you can easily check it's a solution. and this solution has y(0)=0, so if the IVP had y(0)=0 as the condition, then you know the solution is just y=0
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Shmoich
10/29/2021 16:19:52
okay what is the IVP
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:19:58
initial value problem
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Shmoich
10/29/2021 16:20:07
so the y = x^2
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:20:09
no
0
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fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:20:12
that's a solution.
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Shmoich
10/29/2021 16:20:20
y = 0 then?
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:20:25
y=0 is also a solution.
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Shmoich
10/29/2021 16:20:30
oh man
1
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help-10
fd6b3da6ffa845778122f81caea5bca3
186,109,587,366,215,680
Omegabet_
10/29/2021 16:20:33
IVP is the DE and initial condition...
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:20:56
$f(x,y,y')=g(x,y,y') \\ y(0)=y_0$
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help-10
fd6b3da6ffa845778122f81caea5bca3
510,789,298,321,096,700
TeXit
10/29/2021 16:20:58
**Mosh**
https://cdn.discordapp.c…587366215691.png
186109587366215691.png
0
1
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:21:09
or whatever initial condition you have
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Shmoich
10/29/2021 16:22:49
hmm I havent seen any of this yet in the book. I might need to plug away and return when I have more of the vocabulary down.
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help-10
fd6b3da6ffa845778122f81caea5bca3
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Omegabet_
10/29/2021 16:22:59
Ok
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Shmoich
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fd6b3da6ffa845778122f81caea5bca3
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Shmoich
10/29/2021 16:23:41
I have a note on the some of the term you used so when they come up all have something to refer back to
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help-10
fd6b3da6ffa845778122f81caea5bca3
624,799,147,148,443,600
Shmoich
10/29/2021 16:23:44
thank though
1
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help-10
fd6b3da6ffa845778122f81caea5bca3
624,799,147,148,443,600
Shmoich
10/29/2021 16:23:49
.close
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help-10
61b3e48d28a246c59385c08c7b014f39
793,106,135,678,058,500
the
11/10/2021 10:05:50
just wanna check my answer
https://cdn.discordapp.c…9808/unknown.png
unknown.png
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help-10
61b3e48d28a246c59385c08c7b014f39
793,106,135,678,058,500
the
11/10/2021 10:21:57
i just drew some constructions at OB, OC, OA, OD and bisected AD and called it OE i then said since OBC and OAD are isosceles that AE=ED and BE=EC then i just went AE-BE=AB and ED-CE=CD then i said therefore AB is congruent to CD
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help-10
61b3e48d28a246c59385c08c7b014f39
793,106,135,678,058,500
the
11/10/2021 10:22:03
is that correct?
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help-10
61b3e48d28a246c59385c08c7b014f39
793,106,135,678,058,500
the
11/10/2021 10:22:38
https://cdn.discordapp.c…8896/unknown.png
unknown.png
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help-10
61b3e48d28a246c59385c08c7b014f39
346,652,719,173,599,200
Leοn
11/10/2021 10:25:40
you have to prove that OE is perpendicular to BC
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help-10
61b3e48d28a246c59385c08c7b014f39
346,652,719,173,599,200
Leοn
11/10/2021 10:25:49
or maybe you are allowed to accept it as true?
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help-10
61b3e48d28a246c59385c08c7b014f39
793,106,135,678,058,500
the
11/10/2021 10:26:16
how 2 do?
1
0
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help-10
61b3e48d28a246c59385c08c7b014f39
346,652,719,173,599,200
Leοn
11/10/2021 10:30:56
So E is the midpoint of AD and OAD is an isosceles
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1,447
help-10
61b3e48d28a246c59385c08c7b014f39
346,652,719,173,599,200
Leοn
11/10/2021 10:31:54
That means OE is a perpendicular bisector of AD
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1
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1,447
help-10
61b3e48d28a246c59385c08c7b014f39
346,652,719,173,599,200
Leοn
11/10/2021 10:32:08
Thus it is perpendicular to BC
0
1
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help-10
61b3e48d28a246c59385c08c7b014f39
793,106,135,678,058,500
the
11/10/2021 10:32:10
how tf is OAB isosceles
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help-10
9da06716aa8e42309b138a804d3e124e
319,444,879,656,878,100
Palpoutine
03/24/2022 04:20:48
how does a function y = 3x + 21 mod26 gets its inverse being x = 9y + 19
1
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help-10
9da06716aa8e42309b138a804d3e124e
319,444,879,656,878,100
Palpoutine
03/24/2022 04:32:27
@Helpers
1
0
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 07:41:43
https://cdn.discordapp.c…Screenshot_6.png
New_Screen_Shot_NameScreenshot_6.png
1
0
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 07:41:53
is the answer c
1
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 07:55:48
@Helpers
1
0
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help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 07:59:15
no, the answer is not c
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help-10
e3a12c5096444be1a37579e0b03febbb
844,913,236,989,837,300
5lttrz
03/24/2022 07:59:21
It is
0
1
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help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:00:15
eh no, the side of the smallest triangle is 4/5, QR shouldnt sum up to be C
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help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:00:24
unless im misreading the diagram
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help-10
e3a12c5096444be1a37579e0b03febbb
844,913,236,989,837,300
5lttrz
03/24/2022 08:00:48
x 2x 4x 8x 16x
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1
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:01:05
how do I solve it?
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help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:01:31
start by labelling a side
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help-10
e3a12c5096444be1a37579e0b03febbb
844,913,236,989,837,300
5lttrz
03/24/2022 08:01:40
https://cdn.discordapp.c…20324-173134.png
Screenshot_20220324-173134.png
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help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:01:40
sorry, brainfart there
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help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:02:29
lemme guess, you forgot to exclude the side with length of x
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help-10
e3a12c5096444be1a37579e0b03febbb
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waler
03/24/2022 08:02:41
PQ=15x in your case and not 16x
0
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:03:10
oh
1
0
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help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:03:10
Q is notated to be the right angle here by how its drawn
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:03:15
oh my god ohhh
1
0
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:03:28
i didnt know it halves
1
0
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:03:32
every 90 degrees
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:04:12
do i do 16x = 12
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0
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:04:35
oh wait
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help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:04:38
...apparently i havent said anything above
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:04:41
oh sry
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:04:48
didnt read carefully
1
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:04:57
so 15x = 12?
1
0
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help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:05:02
yes
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e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:05:11
even if PQ=16x, the answer wouldnt have been B
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:05:18
ic
1
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:05:37
thanks :)
1
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:06:25
could u help me with another one
1
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help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:08:00
just send it, and i will if i know how
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1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:08:11
https://cdn.discordapp.c…meScreenshot.png
New_Screen_Shot_NameScreenshot.png
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:08:25
ive tried to make (p-q)^2 = (p-q)(p+q)
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:08:33
then its n(p-q)
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:08:40
but i dont know how to get a p - q
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waler
03/24/2022 08:09:01
can you expand (p-q)^2 for me
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:09:15
ok
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:09:47
so p^2 - 2pq + q^2
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waler
03/24/2022 08:09:53
great
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waler
03/24/2022 08:10:00
so now can you find what n^2 equals from the given information?
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:10:13
p^2 + 2pq + q^2
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help-10
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waler
03/24/2022 08:10:16
ok good
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waler
03/24/2022 08:10:27
notice that it just differs from the middle term
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help-10
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Macro
03/24/2022 08:10:33
mhm
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waler
03/24/2022 08:10:58
so we in order to have a -2pq in n^2, we can add and subtract a 4pq correct?
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help-10
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waler
03/24/2022 08:11:04
since 2pq - 4pq = -2pq
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:11:07
mhm
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help-10
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waler
03/24/2022 08:11:23
so n^2 = p^2 -2pq + q^2 + 4pq
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help-10
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waler
03/24/2022 08:11:38
which gives n^2 = (p-q)^2 + 4pq
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help-10
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waler
03/24/2022 08:11:48
now the only thing is we need to find what pq equals
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help-10
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waler
03/24/2022 08:12:02
we also know that 1/p + 1/q = m, can you find what pq equals?
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:12:06
hm
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