x=5 as an infinity nested square root
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- Опубликовано: 10 сен 2024
- Regular video: • Infinitely Nested Mich...
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#shorts
bprp x
I love how he's speaking so fast but slows downs when saying Twenty. 😂😂
I love how he says "Twante"
@@josephburdett, yeah, it sounds cute.
Instructions unclear: Bank refusing to exhange my 5 for infinite 20's.
Twanti
Nawantiti
@@skylarop4366koolaid, yuh I need a wakanda shield
Redditor explaining why you're a big mistake about saying "your" instead of "you're":
Yeah but we can also make the following:
For an x positive or |x|
x = sqrt(x^2)
= sqrt(x^2 -x +x)
= sqrt(x^2 -x +sqrt(x^2 -x +x))
= sqrt(x^2 -x + sqrt(x^2 -x +sqrt(x^2 -x ...
Nice glasses, by the way.
so the nested root value of x is x^2 - x
@@oni8337 Yes.
I love this generalization! So you can write 7 = sqrt(42+sqrt(42+sqrt(42+…))). It also works in reverse, so given
n = sqrt(x + sqrt(x + …))
then,
n = (1 + sqrt(1 + 4x)) ÷ 2.
For all those arguments you gotta prove the convergence for the following requerence,x_n+1=sqrt(a*xn+b)
Thank you, sir
Never in my entire life did I think I wanted Lao Tzu in sunglasses to teach me maths
Thanks this gave me an idea for physical chemistry question that i will make for students
TLDW: it's square root of twaantee plus square root of twaante plus square root of twaante plus...
Nice look xD.... btw you told this in one of your prevoius videos
Twanthi 😂
Superb 😀
🥞 This is the math teacher we all wish we had 🔥
Future math rapper lol
This can be generalized to any positive integer as x=sqrt((n^2-n)+x)
Do it with
(x-5)(x+6) = 0
And you'll get the negative version 😀
Twantiii !!
I like the way u say 20
Perfect 👌
Bro is the Eminem of maths
You can multiply it with anythin..
then after converging also it has another root -4
Mmm... U gave to me a little idea for find another proprieties of what I call " perfect irrationals". I will look at that when I'm gonna have time for that. Thank U🤓👌
so thia is how they come up with these questions.
Oh 😮
when solving systems of equations, plugging a variable into the equation you got it’s value from almost never works
This isn't a system though this is just one equation.
im just saying its probably a similar situation
when mathematicians get bored
It's the same content from you other Short, right? Exactly the same, except that there were no talking, captions, and the title was “When mathematicians get bored”
Магия. Великолепно!
twanti~~~
I just tried this with my calculator
God level 😂
That is not god level
x=5 that means ( x-5) (x+4) =0 so 0*(x+4)=0 all time true however what you multiplied the term you get 0(x+?) =0
apesia 😭
When eminem becomes teacher
Nice
recursion, right?
なるほど
Remember the root of TWAAANTYYY
keep the sunglasses next time please ty
Why
-4 be like 🫠
Woa
twanty
I put this in a calculator but it gave me 3.999
Easy
Wouldn't this also converge to -4?
Edit: Turns out I was mistaken. He didn't include the negative square root because it wasn't relevant to his proof, so the final infinity nested equation itself would not converge to -4. The -4 equation it would be an alternate solution.
@Rayan Sharara why not?
y = 20+√(20+√(20+...))
√y = -4
(√y)² = (-4)²
y = 16
But
√16 = 4 not -4
so it
has no solution (he did this in one of his videos (√y = -1)
so
√(20+(√20+(√20 ... ))) ≠ -4
And also check out his original channel , BlackPenRedPen he already did a nested square root video
I said solution x=-4, not x=√-4
no since it takes the positive answer
@@oni8337 Why does it only take the positive answer?
w h a t
To prove that the first one x=5 => x-5=0
Imma use • as multiplication here
x=5
x^2=x • 5
x^2 -5=x • 5 -5
Then x get canceled and 5-5=0
So x-5=0
Yes I know you can just take 5 to x but this is the fun way
Lol Abby C
How can you do that 🤣🤣🤣🤣🤣
x = - 4 😕 . You cheat.
Wrong mathematics
Why?
No
You can also get x = - 4. You cheated because you didn't write +- when you took the square root.