China | Math Olympiad | A Nice Algebra Problem 👇

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China | Math Olympiad | A Nice Algebra Problem 👇

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Пікірлер: 98

@jerryliu1446 26 күн бұрын

I have a easier way to do this without the boring caculation part. We first definite algebra A as 11111 and swap the big number in square root with algebra A √(4444488889)=√(4A x 10^5)+8A+1=√4Ax(9A+1)+8A+1=√36A^2+12A+1=√(6A+1)^2=6A+1=66667

@arasu18 17 күн бұрын

Yes the question 4s 8s and 9 makes us think in (A+B)^2 logic 👍🏽

@sudmarl.2115 4 күн бұрын

👍👍

@edwinpittomvils2570 Ай бұрын

Just use Newton iteration f(x) =x^2-a gives next x = (x^2+a)/2x. Start wit x = 67000 and after one iteration you are spot on 66667. Doesn’t take 3 minutes!

@6bq7aez80 13 күн бұрын

Pourquoi commencez vous par 67000? D'où provient cette valeur ou comment la déterminez vous?

@Devishhike 9 күн бұрын

@@6bq7aez80 Maybe because the given number has 10 digits so square root has D / 2 digigts. 10^a^b = 10^(a*b). 67^2 and 66^2 is closest to 4444, 4489 and 4356 respectively.

@6bq7aez80 9 күн бұрын

@@Devishhikemerci. Je dois avouer que je ne connais pas par cœur les carrés des nombres bien au delà de 16 et je n'aurais pas pu trouver en moins de 3 minutes.

@Devishhike 8 күн бұрын

@@6bq7aez80 It's all about evaluation. For instance, 3600 is 60^2, so u may start Newton method with 60. Ok, even though you know that 4^2 is 16 then u can go on with 5^2 is 25, 6^2 is 36 and 7^2 is 49, so our result begins with 6 because the first 2 digits is 44 and the nearest value which is lower and is a square is 36. There is a manual square root algorithm with pen and paper (which does the same process I've described) u can look for it.

@6bq7aez80 8 күн бұрын

@@Devishhike la dernière racine que j'ai arrachée n'était pas carrée et re-apprendre à extraire une carrée m'aurait pris déjà les 3 minutes. 3mn vous sont une éternité mais pour moi un clin d'oeil. Merci d'avoir satisfait ma curiosité .

@tamirerez2547 Ай бұрын

Nice problem and excellent solution.👍 But you have to work on your 8's... 😉

@Pomskywalker 25 күн бұрын

Love the way you taught. It's a good example to solve a big question by using basic algebra. Thank you so much.

@user-yt1wp2jn4w Ай бұрын

x=11111,10^5=9x+1: 4444488888+1=4x*10^5+8x+1=4x(9x+1)+8x+1=36x^2+12x+1=(6x+1)^2

@arvindkulkarni6580 Ай бұрын

Very well explained such complex question

@leealex3692 Ай бұрын

amazingly stupid solution

@ahmadhabibi3348 Ай бұрын

a reasonable solution but difficult to repeat without seeing this method

@leealex3692 Ай бұрын

AMAZINGLY STUPID SOLUTION, just let X=11111, 10^5=9x+1

@kathyasmith9999 Ай бұрын

Too long for practice life, only for knowlodge. Is very very good

@ronaldnoll3247 Ай бұрын

Very, very good... I am impressed

@vengurlajoshi5003 11 күн бұрын

Good food for thought. Thank you

@anderlecht1969 Ай бұрын

Just fantastic

@MrSinusu 4 күн бұрын

Use a parenthesis for 10*5-1 like (10*5-1)

@makotoishizuka6479 Ай бұрын

It's easier to just do the square root using written calculations.

@johnnyjoe9904 16 күн бұрын

Lot of time you can find by division method quickly

@Nr_Logic 18 күн бұрын

Nice solution

@erwanallot6298 7 күн бұрын

Bravo, merci beaucoup.

@olegdmitriev6854 Ай бұрын

The mutual strikethrough of the square root and the degree of the number inspired me incredibly. It is possible that this should be done in the rice fields of a Chinese village... In our fifth grade, a schoolboy would be sent for his parents to find out how mentally complete this schoolboy is. But even for a schoolboy of an average rural Chinese school, the square root is actually a two-digit function. However, it is possible that China has a different algebra... I fell into prostration from the level of teaching algebra in China.

@saswataghoshlearning4361 Ай бұрын

simple division process can do it in 2 mins why to do so much but process was good

@user-go5sy7mu6q Ай бұрын

Mast hey ye video

@ivanku.2049 Ай бұрын

also -66667 is another solution

@leealex3692 Ай бұрын

wrong ONLY 66667

@abibfaye3026 Ай бұрын

Yes you’re done

@abibfaye3026 Ай бұрын

@@leealex3692it’s not wrong

@rmorenod83 Ай бұрын

Only one solution! You're not solving an equation x² = .....

@wenardiardi1963 Ай бұрын

Result of squareroot is positive. Unless theres an imaginary number

@manologodino941 2 күн бұрын

too much time and too much paper

@harshpathak2359 Ай бұрын

Nice simplified

@leealex3692 Ай бұрын

amazingly stupid solution

@LaxmanKumar-yi4cv Ай бұрын

Nice explanation mam

@jameswachira-fu6lk 26 күн бұрын

that's great😄😄😄

@hindjind 10 күн бұрын

जुगाड करने की कला ही गणित कहलाती है,

@yapadek3098 6 күн бұрын

Wow !!

@葉永福 Ай бұрын

直式開方更容易

@user-vf4lm1lp2n Ай бұрын

嘿，你有學到直式開根號，不錯。

@kimwonyoung_ 13 күн бұрын

너무 반짝반짝 눈이 부셔 노노노노노 너무 깜짝깜짝 놀란 나는 오오오오오 너무 짜릿짜릿 몸이 떨려 지지지지지 오 젖은 눈빛 오 예 오 좋은 향기 오 예예예

@harikishan1900 Ай бұрын

Very well 😊

@manojchaugule794 Ай бұрын

its very good simplified

@satyadev3848 Ай бұрын

great😊

@Maheshkumar-cw6un Ай бұрын

Perfect learning

@leealex3692 Ай бұрын

AMAZINGLY STUPID SOLUTION, just let X=11111, 10^5=9x+1

@samherat7302 26 күн бұрын

Why not the conventional method that may take shorter time?

@RealQinnMalloryu4 20 күн бұрын

(x ➖ 3x+2).

@RealQinnMalloryu4 20 күн бұрын

2^2^2^2^2^2^2^2^2^2^2^32^3^2^32^3^3^2 1^1^1^1^1^1^1^1^1^11^1^1^1^1^1^2^13^1 23 (x ➖ 3x+2) .

@Chiavaccio 24 күн бұрын

👍👍👍

@bambangnugroho6147 Ай бұрын

Your process make your head dizzy. You should using CAS to solve it. Mathematic is learning, the scientist making calculator and computer, why you doubt them ? You better at cooking masala.

@arnoldli4051 Ай бұрын

Amazing

@govindbhaipatel8253 28 күн бұрын

Deep knowledge

@leohkhung Ай бұрын

very interesting

@user-bj9sj1mj4z Ай бұрын

one two tree four five 🗣

@AlbertoDiezfibracity Ай бұрын

Mucho más corto calculando la raíz cuadrada a mano

@ThuNguyen--- Ай бұрын

Thời đại 4.0 lấy máy tính bấm chưa đến 1 giây ! Làm dài dòng quá !

@muharrem9006 24 күн бұрын

And minus of the solution you found also will be another solution. Plus-minus

@user-mc5pg4do4z 15 күн бұрын

There mistake in second line

@user-mc3bu1lb7g Ай бұрын

Столько лишних действий, глупых и не нужных, похоже чтоб тайминг растянуть, мне бы за такое решение 3 поставили.

@91873delete Ай бұрын

It gave me slap on what I lost doing and thinking when i was a child

@aruntiwari5714 Ай бұрын

❤❤❤❤

@ruslanbip7333 Ай бұрын

did it wo paper in less than 30 secs

@user-em3pn6fk9d 11 күн бұрын

この発想は無かったー！

@Stn_4 Ай бұрын

Try log

@jefferychow4765 Ай бұрын

99999 is not "five times nine"...

@therandomchannel9226 6 сағат бұрын

Stop rewriting same stuff again n again 😂😂

@paporot06 21 күн бұрын

У стовпчик - куди скоріше.

@user-se5wr3sd5y Ай бұрын

Красивое решение!

@user-vf4lm1lp2n Ай бұрын

做的很努力，但冗長複雜，效率不佳，直式開根號可直接算出。

@user-uz2fz5px1o 16 күн бұрын

Τόσος υπολογισμός για το τίποτα. Σε τι χρειάζεται;

@user-uz2fz5px1o 16 күн бұрын

Υπάρχει απλή μέθοδος, το κομπιούτερ

@muhannawa Ай бұрын

There is another way easier..

@adenwellsmith6908 8 күн бұрын

Lose a mark for no negative root.

@nguyenvannhan2127 9 күн бұрын

Do we need to solve these problems to become rich? My boss stopped studying when he was 10 and now he has 10 Million dollards 😂

@user-wd7gy1um9l Ай бұрын

scam

@user-mq8bt7fp2m Ай бұрын

66667

@user-zh4cn6wo8m 26 күн бұрын

이렇게 긴 숫자는 계산기가 하면됩니다. 요즘세상에 누가 이런 복잡한 숫자를 수많은 시간 보내면서 낭비합니까? 시간낭비 머리 낭비입니다. 그시간에 더 가치있는 일을 해야 합니다.

@user-fy5zx4zo6c 28 күн бұрын

그냥 계산기에 넣고 돌리자