OMG! Square Roots Reveal the Golden Ratio? #maths#goldenratio

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[mallarpubairava]

I used to make this problems at my 10th standard😂

[VishankBG]

It's also one of the zero of x²-x-1

[Ungabunga]

Learning math an school is boring
But YouTube it's different

[cyborg]

If someone doesn't understand A is infinite in underroot and infinite-1 is infinite so he puts the value there and rest is video

[Ani-ouie]

The sum of Fibonacci sequence is -1
= Sum*a
Now, 1st term has a :- 1
2nd term has a:-1
3rd term has 2a:-1, a:-1
4th term has 2a:-2, a:- 1
5th term has 2a :- 3, a:-2
6th term has 2a:- 5, a:3

....
...
Then,
a*sum= a+ a+ +
a*sum= 2a + 2a(sum) + a(sum).
Sum= 2+ 3 (sum)
Sum= -1

[learnwithswadesh]

Wow never knew it this definition of phi

[FundamSrijan]

It is also the solution for
_/``2xdx, lower limit = 1, upper limit = itself . It's called the tower of integration and gives the solution golden ratio .

[mysteriousedits]

YESTERDAY I SOLVED THESE TYPE OF QUESTIONS FROM R.D. SHARMA BOOK

[Espartan]

Belíssima demonstração!!! Más não sei como se deduziu que phi poderia ser uma série deste tipo..

[simohayha]

Also continued fraction 1/(1+(...))
Where you keep repeating the fraction
So you write it as A = 1/(1+A) and get same.

[XanderAnimations]

A = (√20 + √ 20 + √ 20 + √ 20 +20 + √ 20 + √ 20 + √ 20...)

A = √(20 + A)
A² = 20 + A
A² - A - 20 = 0
A = (1±√(1+80))/(2)
A = (1 ± √81)/2

A = (1 + 9)/2
A = 10/2
A = 5

[irokosalei]

You can get the golden ratio by infinitely inverting then adding 1 to an integer.

[Uzui_Tengen]

I don't know what the fuck just happened but im obligated to say "this hits hard" on these shorts

[bsrzxlc]

Class 10

Shree dhara charya formula applies

Whos remember this question
√7+√7+√7+...

[huuc]

i tried this as an iterative function and it does work

[factfruits]

How do you make such Videos? I mean what tools do you use?

[medazizmhenni]

Shouldn't we verify that it converges first?

[jzvfiqh]

you can do the same with substraction and fraction since the reciprocal of phi is phi minus one.

[Anujkumar]

Bhai yah 10th ka kaun sa chapter hai❤ please yaar bata do 10th Mein Aakar Dar lag raha hai😢😮

[raiswonderland]

I am currently in 6th standard and I can easily solve problems of IIT JEE