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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:28:24
Now finally let y = -y
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:29:03
Then you get sqrt(x^2-4xy+4y^2) + 2y + x
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:29:32
Does that always equal 2x?
0
1
null
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:30:42
(x-2y)^2 is x^2 - 4xy + 4y^2 Does that match whats inside the square root?
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1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:31:17
no
1
0
null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:31:30
Are you sure?
0
1
null
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:31:33
We have
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:32:01
inside root is x^2 + 4xy + 4y^2
1
0
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:32:33
But for this part we have to let y = -y
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:33:20
then yeah we get x^2 - 4xy + 4y^2
1
0
null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:33:37
both b and c
1
0
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:33:47
a is x^2 + 4xy + 4y^2
1
0
null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:35:04
But what do you get on the left side in part b?
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:35:30
If you move everything not on the square root to the left side of the equation
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:37:36
(-x,y) + 2y - x ?
1
0
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:40:14
Not quite
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1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:41:10
In part b we let x = -x: 2x = sqrt(x^2 - 4xy + 4y^2) - 2y - x 3x + 2y = sqrt(x^2-4xy+4y^2)
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:41:14
Is this always true?
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:42:15
wdym always true?
1
0
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:42:28
For all x and y values
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:42:43
how am i supposed to know
1
0
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:42:52
Square both sides
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:46:03
ok then sqrt(3x + 2y) = fourth rt(x^2-4xy+4y^2)?
1
0
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:46:19
No
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1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:46:20
oh no
1
0
null
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:46:26
Squaring means the opposite haha
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:47:13
(3x + 2y) ^2 = x^2-4xy+4y^2
1
0
null
null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:47:37
Expand the left hand side
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:49:01
9x^2 + 12xy + 4y^2 = x^2-4xy+4y^2
1
0
null
null
null
null
null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:49:28
Is this true for all values of x and y?
0
1
null
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:50:46
Basically does the left side exactly match the right side?
0
1
null
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:51:06
x^2 + 12xy = 0
1
0
null
null
null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:51:44
If x=1 and y=1 then we get 13
0
1
null
null
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:51:48
Does 13 = 0?
0
1
null
null
null
null
null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:51:54
no
1
0
null
null
null
null
null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:52:16
So b is incorrect
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:52:24
Now let's look at c
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:53:03
We let y = -y, so we get: 2x = sqrt(x^2 - 4xy + 4y^2) + 2y + x
0
1
null
null
null
null
null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:53:39
a) is correct right?
1
0
null
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null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:54:51
because sqrt(x^2+4xy+4y^2) - 2y + x = 2x
1
0
null
null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:55:49
(x+2y) -2y + x = 2x
1
0
null
null
null
null
null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:56:35
Oh wait yeah that's right
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:56:50
Nice job
0
1
null
null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 06:58:19
a is correct
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:59:08
so c) sqrt (x^2-4xy+4y^2) + 2y + x = (x-2y) + 2y + x = 2x
1
0
null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 06:59:43
a) and c) both gives 2x but the answer is apparently d)
1
0
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:02:37
Actually that doesn't make sense
0
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:04:29
Let's check
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:04:52
,w 2x = sqrt(x^2+4xy+4y^2)-2y+x
0
1
null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
510,789,298,321,096,700
TeXit
04/05/2022 07:04:56
Results provided by WolframAlpha
0
1
null
null
null
null
null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 07:05:33
a) and c) gives solutions for some real x and y but not '''all''', maybe thats why a and c dont work?
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:06:28
Here is what we are missing
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:06:32
Tell me this
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:06:45
What is $\sqrt{x^2}$
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
510,789,298,321,096,700
TeXit
04/05/2022 07:06:48
**EndTimes**
https://cdn.discordapp.c…104800104449.png
551269104800104449.png
0
1
null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 07:07:01
x
1
0
null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:07:05
NO
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:07:10
Thats the thing
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1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:07:31
$\sqrt{x^2} = |x|$
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
510,789,298,321,096,700
TeXit
04/05/2022 07:07:33
**EndTimes**
https://cdn.discordapp.c…104800104449.png
551269104800104449.png
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:08:21
Sqrt((-5)^2) = sqrt(25) = 5
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:08:26
Which is not -5
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:09:18
@Deleted User does this make sense
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help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 07:10:17
kind of
1
0
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 07:11:54
so lets say we have a f(x) = sqrt x^2 then what is the domain?
1
0
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:12:08
All real numbers
0
1
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:12:59
sqrt(x^2) has a domain of all real numbers and a range of all real numbers >= 0
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:13:37
Because the square root of a number is always positive
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 07:13:41
basically fx = |x|
1
0
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:13:45
Yes
0
1
null
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:13:57
So it doesnt always give back the original number
0
1
null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 07:15:25
so all values of y have 2 x values
1
0
null
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null
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 07:15:35
even though it is not 2nd degree
1
0
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null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:15:50
Yes
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:15:58
Horizontal line test
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:16:07
It will cross the curve twice
0
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:17:01
Please do not confuse $\sqrt{x^2}$ and $(\sqrt{x})^2$ however
0
1
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
510,789,298,321,096,700
TeXit
04/05/2022 07:17:30
**EndTimes**
https://cdn.discordapp.c…104800104449.png
551269104800104449.png
0
1
null
null
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null
null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 07:17:56
so is y=|x| a second degree equation ?
1
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help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:18:39
It's not a polynomial
0
1
null
null
null
null
null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:18:49
So there's no degree of it
0
1
null
null
null
null
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 07:20:03
i solve both like this x^2*1/2 = x
1
0
null
null
null
null
null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:20:16
sqrt(x^2) is |x| for all real x (sqrt(x))^2 is x for all x >= 0
0
1
null
null
null
null
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1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:20:28
That rule only works when x is positive
0
1
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 07:25:28
is there any intuitive understanding on why they are called roots?
1
0
null
null
null
null
null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 07:25:46
i dont like the graphic portion of algebra
1
0
null
null
null
null
null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
551,269,104,800,104,450
EndTimes
04/05/2022 07:27:47
Not really, we just say that roots are solutions to polynomials
0
1
null
null
null
null
null
1,704
help-10
69382d91698349cea5acbe4b3e6d3f7f
456,226,577,798,135,800
Deleted User
04/05/2022 07:31:08
so back to the original problem, neither a, b nor c works because x and/or y are inside the root and negative values cannot be inside right?
1
0
null
null
null
null
null
1,705
help-10
67f9b080601c45d2940da81f5ee5ba11
378,716,511,055,118,340
Sarim1k
04/05/2022 08:31:44
does the solution to this make sense so far?
https://cdn.discordapp.c…9074/unknown.png
unknown.png
1
0
null
null
null
null
null
1,705
help-10
67f9b080601c45d2940da81f5ee5ba11
378,716,511,055,118,340
Sarim1k
04/05/2022 08:31:44
does the solution to this make sense so far?
https://cdn.discordapp.c…6476/unknown.png
unknown.png
1
0
null
null
null
null
null
1,705
help-10
67f9b080601c45d2940da81f5ee5ba11
378,716,511,055,118,340
Sarim1k
04/05/2022 08:50:02
@Helpers
1
0
null
null
null
null
null
1,705
help-10
67f9b080601c45d2940da81f5ee5ba11
884,904,554,037,141,600
dk.dkn
04/05/2022 10:43:00
Assuming you’re trying to work out the derivative and g(tanx) is g multiplied by tanx, I think the only mistake is right towards the end, I think it should be fg(k) not fg(0) since the derivative of kx wrt x is k
0
1
null
null
null
null
null
1,706
help-10
a6676d84a5be4605adf11bf55f4b1951
305,413,542,113,443,840
SN
04/05/2022 11:39:06
When defining a n-touple as a function : (a,b,....,w) = x: {1,.....,n} --> u with x(1) = a ,x(2) = b ... x(n) = w. And on a set Y, (Y)^n is the set of all n-touple with x: N_<=n --> Y. How can one define (N^2)^3 (N as natural numbers). I guess one could say for N^2 = {x:{1,2} -->N} is that correct and how would you e...
1
0
null
null
null
null
null
1,707
help-10
f9bd326043f3465289d93355741a1230
876,838,646,823,653,400
demiseee
04/05/2022 13:14:25
Is the set notation of the statement "H does not include D" H\D or D∉H? Or are both wrong? Help please
1
0
null
null
null
null
null
1,707
help-10
f9bd326043f3465289d93355741a1230
876,838,646,823,653,400
demiseee
04/05/2022 13:16:00
Or is it H⊄D?
1
0
null
null
null
null
null
1,707
help-10
f9bd326043f3465289d93355741a1230
876,838,646,823,653,400
demiseee
04/05/2022 13:16:08
or D⊄H?
1
0
null
null
null
null
null
1,707
help-10
f9bd326043f3465289d93355741a1230
392,341,051,794,391,040
Navix
04/05/2022 13:16:23
$\notin$ is a relation between elements and sets, not between a set and a set.
0
1
null
null
null
null
null
1,707
help-10
f9bd326043f3465289d93355741a1230
510,789,298,321,096,700
TeXit
04/05/2022 13:16:26
**nvx**
https://cdn.discordapp.c…051794391040.png
392341051794391040.png
0
1
null
null
null
null
null
1,707
help-10
f9bd326043f3465289d93355741a1230
876,838,646,823,653,400
demiseee
04/05/2022 13:17:19
Okay how about the not a subset?
1
0
null
null
null
null
null
1,707
help-10
f9bd326043f3465289d93355741a1230
876,838,646,823,653,400
demiseee
04/05/2022 13:17:54
symbol*
1
0
null
null
null
null
null