Sir jab aapne bola tha starting mein ki divine answer hai,,, main immediately samjh gaya tha ki answer golden ratio hoga , so solve karne ki zaroorat nahi padhi , but thank you sir 😊
@@AniketSingh-mv2cw bhai kabhi Zindgi mein dekha hai ahmiyat ???? Majority of earth pe patterns iski wajah se hai ,,, flowers pattern iski wajah se hai , solar system mein jo ellipse orbit padhte ho woh iski wajah se , human body symmetry iski wajah se aur bhi bahut , please isaki ahmiyat search Karo , bahut mazaa aayega , agar golden ratio na ho toh aaj hum na ho
@@arnavverma2461 it has nothing to do with physics. "Agar wo na ho to ham na ho" Agar newton ne gravity discover nahi ki hoti to iska ye matlab thodi hai ki gravity lagti hi nahi Numbers have no significance ,logic has more importance.
I heard about golden ratio for the first time in Da Vinci Code by Dan Brown.... Robert Langdon was explaining that the nature shows this ratio...... After such a long time I got very excited when I saw u discussing about golden ratio..... Aman sir u r great.
Yeah i did this, but with some basic approach only, i m in 9th so did this with my limited knowledge as follows : ((x^2 - 1)/x)^1/2 + ((x-1)/x)^1/2 = x (Taken LCM) (x^2 - 1) ^1/2 + (x-1)^1/2 = x^3/2 (cross multiply) Square both sides x^2 - 1 + x - 1 + 2 (x^2 - 1)(x-1) = x^3 simplifyng brackets: x^3 - x^2 - x = 0 x(x^2 - x - 1) = 0 now x = 0, (1+ root 5)/2, (1- root 5)/2 but x not equals to 0 bcz there is 1/x and also x not equals (1+ root 5)/2 bcz then x-1/x will be -ve in power 1/2 and it will go to complex roots So, final answer x = (1+ root 5)/2 Really maths is my love If there is a god, then he must be a mathematician, 😄
In LHS the the both function has ½ in power so in this case ½ means root.. For cancelling root we generally square the both sides.. After squaring we would get x²-x-1 = 0.. Worship Shreedhar Achryya.. & You are good to go
Always loved that you are bringing these type of questions in your channel and explain it a very understandable method and it really is satisfying. Always Loved Your WORK❤️❤️
★ Sir I understood when I saw Divine answer in Thumbnail and also rooot of (√x -1/x) and... actually there are alot of example of this Ratio (∅) " Nautilus snail " , " Human body " ....Related to " FIBONACCI SEQUENCE " ....so I am eagerly waiting for your videos on " GOLDEN RATIO ".... basically it's non terminating non recurring number (irrational) like " PI " (π) and Leonhard Euler's Or " NAPIER'S Constant " (e ) people beleive that ancient or mediaeval architecturer knew about this , but no.... it's nothing more than " EXAGGERATION " because architecturer were not mathematician ..... ∅ = 1+√5/2 ≈ 1.618..... One thing I noticed that " PASCAL'S COEFFICIENTS " and "FIBONACCI SEQUENCE " are same ‼️ I heard about this number in SUPER 30 movie..🙏🏻🙏🏻❣️❣️
@@OmkarVNIT Undoubtedly yes broo..why not... It is using Newton's generalised binomial theorem ... (a+b)^r≡ar+ rba^r−1+r(r−1)2! a^r−2b^2+r(r−1)(r−2)3!a^r−3 b^3+⋯.. Observe I have written " triple bar symbol ≡ " it means above expansion is an identity , you can use for any index ...i.e for Positive integer as well 🙂🙂🙂🙏🏻🙏🏻
Sir, I am Aranya Banerjee I love Mathematics I read in class 7th I made many formulas for Mathematics and physics my black hole theory name Hyper Take Equation and be many theory made I.
Sir ji..... Main maths TH-cam pe keval apse hi padhta hoon..... Agar pure TH-cam pe koi maths ka teacher hsi to vo aap hai.... So sir plz.... Mke a video in golden ration.....all concept and theories...
Sir x can be negative also as if it's negative then value of x will be in iota i.e. complex which for sure is possible. Please explain why it's not possible. 🙏
This Video is magnificent. I also like the electronic whiteboard. I like to know which hardware and software you are using. Very good explained. I like it. Greetings from Germany
Sir...This ques could easily be solved by normal simplification...You don't need to suppose a, b , and blah blah What you need to do is just simplify the given equation By the way, I Love You Sir
If according to you , x could be negative but greater than -1 , let's assume x to be -1/2 , then the LHS would be positive but the RHS would be negative , hence x cannot be negative.
No need trick in this, shift (1-1/x)^1/2 to RHS and square it 2 times until you eliminate root. Then use clase one method of finding roots of polynomial
Sir jab aapne bola tha starting mein ki divine answer hai,,, main immediately samjh gaya tha ki answer golden ratio hoga , so solve karne ki zaroorat nahi padhi , but thank you sir 😊
Logic kaha h bhai
@@AniketSingh-mv2cw intuition se bola, padho theek se msg
@@arnavverma2461 aisa ky khas hai golden ratio m ...hai toh number hi n🤨🤨
@@AniketSingh-mv2cw bhai kabhi Zindgi mein dekha hai ahmiyat ???? Majority of earth pe patterns iski wajah se hai ,,, flowers pattern iski wajah se hai , solar system mein jo ellipse orbit padhte ho woh iski wajah se , human body symmetry iski wajah se aur bhi bahut , please isaki ahmiyat search Karo , bahut mazaa aayega , agar golden ratio na ho toh aaj hum na ho
@@arnavverma2461 it has nothing to do with physics.
"Agar wo na ho to ham na ho"
Agar newton ne gravity discover nahi ki hoti to iska ye matlab thodi hai ki gravity lagti hi nahi
Numbers have no significance ,logic has more importance.
5:37 "separate video for divine value"
I heard about golden ratio for the first time in Da Vinci Code by Dan Brown....
Robert Langdon was explaining that the nature shows this ratio......
After such a long time I got very excited when I saw u discussing about golden ratio..... Aman sir u r great.
@『_ͥ_ͣ_ͫ OP Da vinci code by Dan brown is the best selling novel of all time.......
Sir I am really shocked after watching your way to solve this equation what a simple and logical question
maine 2 mins mein solve kiya...bohot simple
Thanks sir
Ab lagta hai math me bhannat hamlog bhi ho gayenge ❤thank you sir nda series ko jald khud start kar digiye🙏🙏🙏
Yeah i did this, but with some basic approach only, i m in 9th so did this with my limited knowledge as follows :
((x^2 - 1)/x)^1/2 + ((x-1)/x)^1/2 = x (Taken LCM)
(x^2 - 1) ^1/2 + (x-1)^1/2 = x^3/2 (cross multiply)
Square both sides
x^2 - 1 + x - 1 + 2 (x^2 - 1)(x-1) = x^3
simplifyng brackets:
x^3 - x^2 - x = 0
x(x^2 - x - 1) = 0
now x = 0, (1+ root 5)/2, (1- root 5)/2
but x not equals to 0 bcz there is 1/x and also x not equals (1+ root 5)/2 bcz then x-1/x will be -ve in power 1/2 and it will go to complex roots
So, final answer x = (1+ root 5)/2
Really maths is my love
If there is a god, then he must be a mathematician, 😄
Sir aap bahut crystal clear samjhate hain
Superb sir
No words are there for you with me
SIR I am in class 10 and have solve the question.Real love is maths and physics.
Marvellous presentation
Sir bahut maja aaya puri video dekh ke😊😊
In LHS the the both function has ½ in power
so in this case ½ means root..
For cancelling root we generally square the both sides..
After squaring we would get x²-x-1 = 0..
Worship Shreedhar Achryya..
& You are good to go
I did same.
Really, sir it was amazing question
I just loved it!
really dude
Bhi to solve bhi to nhi kiya puri treh se
Really You are a great teacher
Beauty of mathematics
Thank you sir for this video😊😊🙏🏻🙏🙏
Always loved that you are bringing these type of questions in your channel and explain it a very understandable method and it really is satisfying.
Always Loved Your WORK❤️❤️
Thank you sir ji.
Wonderful sir..long live
Ekdam Bhannat solution😂😂😊😊😊😊❤❤❤❤
Very nice problem
Sir i solved this question under two pages by using my method and when i saw your video i solved it in one page 🔥🔥🔥🔥🔥🔥🔥
In which class do you read
Bhai Toone ye 2 page me kaise kiya ye to ek page ka bhi nhi hai
Kabhi kabhi meri approach extra calculation karwa deti hai
@Himesh Ninama mine is 2
Very easy solved.
Sir,apne mera dil jit liya❤️❤️❤️
Gajab ! Dil kush hogya
Sir please bring us this type of questions frequently
Nice sir 👍🏻
Sir bohot accha padhate hai aap Apne kya padha hai college se kya kiya hai study mein
nice solution
Excellent
Nice question btw 👏
*golden spiral drawn within a rectangle* is ❤️ ❤️ ❤️ ❤️ ❤️ ❤️ ❤️ ❤️ ❤️......♾️
Sir ise both side square karke bhi asani se bnaya ja sakta tha
👍👍👍👍👍👍😲😲😲
Sir humko ramanujan ke aur formulae par aur videos chahiye
I solved the question 🙋♂️
First of all excellent teaching👍👍👍Sencondly Sir aapka interactive board kaunse brand ka hai... Pls let me know
Bhannat hai question 🙏🙏🙏❤❤❤
Dy/dx of xsinx??
★ Sir I understood when I saw Divine answer in Thumbnail and also rooot of (√x -1/x) and... actually there are alot of example of this Ratio (∅) " Nautilus snail " , " Human body " ....Related to " FIBONACCI SEQUENCE " ....so I am eagerly waiting for your videos on " GOLDEN RATIO ".... basically it's non terminating non recurring number (irrational) like " PI " (π) and Leonhard Euler's Or " NAPIER'S Constant " (e )
people beleive that ancient or mediaeval architecturer knew about this , but no.... it's nothing more than " EXAGGERATION " because architecturer were not mathematician .....
∅ = 1+√5/2 ≈ 1.618.....
One thing I noticed that " PASCAL'S COEFFICIENTS " and "FIBONACCI SEQUENCE " are same ‼️
I heard about this number in SUPER 30 movie..🙏🏻🙏🏻❣️❣️
Can we solve it by binomial explain of fractional powers ?
@@OmkarVNIT Undoubtedly yes broo..why not... It is using Newton's generalised binomial theorem ...
(a+b)^r≡ar+ rba^r−1+r(r−1)2! a^r−2b^2+r(r−1)(r−2)3!a^r−3 b^3+⋯..
Observe I have written " triple bar symbol ≡ " it means above expansion is an identity , you can use for any index ...i.e for Positive integer as well 🙂🙂🙂🙏🏻🙏🏻
And ratio of higher consecutive Fibonacci numbers tends to phi.
Thanks sir😊
Complex Solution. Pl do in easiest way.
sir more ques like this like diphantine and all i just love this type of maths sir
Sir the ans is 2x cos18
Thx sir😊
Sir please fata fat se goldan ratio devine ratio per video bana dijiye please.
Sir you are magician of mathematics 👍🏻
Sir ji , Golden Ratio ke vare me jaldi video upload kijiye .
Make vid on golden ratio plss sir !!
Sir x=1 will also satisfy the equation.
@Aman Sir ,with the help of logarithm we can easily solve this problem..
I hv got the soln..
wonderful! Enjoy the solutions. Only friendly advice is that you don't have to explain even the very simple steps.
Sir please golden ratio par video banayein
Thank you sir
Wow
Sir, I am Aranya Banerjee I love Mathematics I read in class 7th I made many formulas for Mathematics and physics my black hole theory name Hyper Take Equation and be many theory made I.
Sir ji.....
Main maths TH-cam pe keval apse hi padhta hoon.....
Agar pure TH-cam pe koi maths ka teacher hsi to vo aap hai....
So sir plz....
Mke a video in golden ration.....all concept and theories...
Sir plzz rooz ek ek questions advance ke liye Dalo na plzzz
Sir you are genius
Sir agar simple Jo equation likhe hai us ka square Karen to phir bhi ho jye ga
Thanks sir💞💞
liked , the way it ends
Sir still you didn’t make a video on Golden ratio. Pls make it. Thanks!
Golden ratio par video banaaaina name sir please
Conic sections please complete krwadijiye sir 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
LOVE U SIR 🔥🔥🔥
Sir pls divine ratio par video banao pls
Sir lkik sqaure root me negative ni hota h
Power 1/2 me negative ho skta h
Aur yhi difference h square root aur power 1/2 me
sir golden ratio ki video jaldi le aao
🌟💛
nice sir G
X can also be negative but there is condition, -1
LHS can never be negative. Therefore 1-√5/2 is rejected
Yes x can be negative. I don’t understand why LHS can’t be negative?
Sir please, polytechnic diploma engineering level ka maths video banaye 🙏
❤
Sir x can be negative also as if it's negative then value of x will be in iota i.e. complex which for sure is possible. Please explain why it's not possible. 🙏
Sum of any 2 positive numbers can't be negative.
Sir ye kaun sa class ka equation hai
konse class ka h ye .. ye maine solve karliya;
Sir number theory and combinatorics pe bhi video upload karo plz🙏🙏🙏
This Video is magnificent. I also like the electronic whiteboard. I like to know which hardware and software you are using. Very good explained. I like it. Greetings from Germany
Sir aapne term 1 mein current electricity ke lectures private kyu kar diye ? Please dekhne dijiye woh jee ke liye bhi bahut zyada helpful hai 🙏🙏
Sir...This ques could easily be solved by normal simplification...You don't need to suppose a, b , and blah blah
What you need to do is just simplify the given equation
By the way, I Love You Sir
Gobar bhi divine hota hai?
Sir ye question to direct SQUARING ON BOTH SIDES laga ke kar sakte the 🧐🧐 why assuming a b ???
Because agar waise karne jayege to root Hatane mai 4th degree ki eqn aayegi
Nice sir🙂
🙏🙏🙏🙏🙏
Sir we can take square on both side and can solve it simply x³-x²+x-2
Really? So how will you solve the cubic
Best way put x=sec2 theta
First 🥰🥰
X could be negative as well if its negative value was greater than -1..
And yes, I'm very addicted to this channel ♥️😅
If according to you , x could be negative but greater than -1 , let's assume x to be -1/2 , then the LHS would be positive but the RHS would be negative , hence x cannot be negative.
Your assumption is wrong because (x-1/x)½ will become undefined or a complex number
Sir short video on square root always positive
No need trick in this, shift (1-1/x)^1/2 to RHS and square it 2 times until you eliminate root. Then use clase one method of finding roots of polynomial
Sir I request you to please teach jee mains and adv syllabus
Nice explaination btw
What are you talking ?? I can't understood a single thing
Ho gya khud se 3-4 baar attempt kiya
Haar nhi maaani
Level of this question is as good jee adv. Ques?
Sir negative kyu nhi complex number bhi toh hote h
Sir Aapko pata kaise chalta hai ki koi question ko is tarah se solve karna hai....... Pls answer
Because it equals to 2cos(36)
Sir post lecturer video on Hyperbola which is not uploaded till now ... please upload it soon sir
Sir but I have used different method and Solved it in 4 lines.
Which
Sir waiting for video on golden ratio
Sir please also make a video on prime numbers and Ramanujan's prime counting function, Prime number theorem.
Sir also one video on hyperbolic trig functions
Good morning sir
Taking log in both side