x=5 as an infinity nested square root

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bprp x

[@arnavjain7566]

I love how he's speaking so fast but slows downs when saying Twenty. 😂😂

[@josephburdett]

I love how he says "Twante"

[@nuzayerov]

@@josephburdett, yeah, it sounds cute.

[@oddlyspecificmath]

Instructions unclear: Bank refusing to exhange my 5 for infinite 20's.

[@vedants.vispute77]

Twanti

[@skylarop4366]

Nawantiti

[@gent0_]

​@@skylarop4366koolaid, yuh I need a wakanda shield

[@dickmcdumper2953]

Redditor explaining why you're a big mistake about saying "your" instead of "you're":

[@juandaviolin]

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.

[@oni8337]

so the nested root value of x is x^2 - x

[@juandaviolin]

@@oni8337 Yes.

[@PaulFisher]

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.

[@MA-bm9jz]

For all those arguments you gotta prove the convergence for the following requerence,x_n+1=sqrt(a*xn+b)

[@bijipeter1471]

Thank you, sir

[@monika.alt197]

Never in my entire life did I think I wanted Lao Tzu in sunglasses to teach me maths

[@aryansrivastava727]

Thanks this gave me an idea for physical chemistry question that i will make for students

[@RedRad1990]

TLDW: it's square root of twaantee plus square root of twaante plus square root of twaante plus...

[@VisheshGoel2004]

Nice look xD.... btw you told this in one of your prevoius videos

[@shivansh668]

Twanthi 😂

[@Lorenzo-hk4yq]

Superb 😀

[@alimon7421]

🥞 This is the math teacher we all wish we had 🔥

[@grantesoro9992]

Future math rapper lol

[@basedblueboy8770]

This can be generalized to any positive integer as x=sqrt((n^2-n)+x)

[@sapigembel]

Do it with
(x-5)(x+6) = 0
And you'll get the negative version 😀

[@GreAse0MonKey27]

Twantiii !!

[@jasimmathsandphysics]

I like the way u say 20

[@turnyourhead1086]

Perfect 👌

[@Ahmed-jx6lf]

Bro is the Eminem of maths

[@mittalrobin]

You can multiply it with anythin..

[@shubhamanmandal7152]

then after converging also it has another root -4

[@PictooMath]

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🤓👌

[@freddyfozzyfilms2688]

so thia is how they come up with these questions.

[@niceguy4801]

Oh 😮

[@tylercummings8449]

when solving systems of equations, plugging a variable into the equation you got it’s value from almost never works

[@coolgarrett17]

This isn't a system though this is just one equation.

[@tylercummings8449]

im just saying its probably a similar situation

[@ryanjagpal9457]

when mathematicians get bored

[@heydrianluisanilao1757]

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”

[@user-gr2vp4jl1r]

Магия. Великолепно!

[@fasebingterfe6354]

twanti~~~

[@lordcezar4657]

I just tried this with my calculator

[@nareshkumarpandranki3404]

God level 😂

[@best_mate456]

That is not god level

[@oder4876]

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

[@mahcgnm]

apesia 😭

[@aahilgamer842]

When eminem becomes teacher

[@firi4737]

Nice

[@elpibedelr3499]

recursion, right?

[@purim_sakamoto]

なるほど

[@giannifois8948]

Remember the root of TWAAANTYYY

[@oldmanestimanjr.3847]

keep the sunglasses next time please ty

[@UsernameR8]

Why

[@AliR03]

-4 be like 🫠

[@charitsfachrurizalkusumara5775]

Woa

[@oni8337]

twanty

[@justinchen9071]

I put this in a calculator but it gave me 3.999

[@lukeskywalker691]

Easy

[@vanadium0728]

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.

[@vanadium0728]

@Rayan Sharara why not?

[@m.isworld2562]

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

[@vanadium0728]

I said solution x=-4, not x=√-4

[@oni8337]

no since it takes the positive answer

[@vanadium0728]

@@oni8337 Why does it only take the positive answer?

[@cryokryst8298]

w h a t

[@Suimiru]

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

[@Doraemon-gc2lu]

Lol Abby C
How can you do that 🤣🤣🤣🤣🤣

[@NXT_LVL_DVL]

x = - 4 😕 . You cheat.

[@anvi2763]

Wrong mathematics

[@juandaviolin]

Why?

[@mugoxmugox]

No

[@martinphipps2]

You can also get x = - 4. You cheated because you didn't write +- when you took the square root.