A Nice Algebra Problem ✍️

A Nice Algebra Problem ✍️

[@jayceejackson3584]

I used to get straight A’s in math back in college. I am here 30 years later to tell you that none of this shit applies in real life. 😂 😂

[@lvantin]

8^x+2^x=(2^x)^3+2^x=Y^3+Y=Y(Y^2 +1), with Y=2^x. On the other hand, 130=2*5*13=5*26=5*(5^2 +1). Therefore, Y(Y^2 +1)=5(5^2 +1)Y=5. Therefore 2^x=5 => x=log2(5).

[@user-qy8re3yx3d]

Надо показать, что других действительных корней нет: (Y^2+Y-130):(Y-5)=Y^2+5Y+26. D=25-104=-79

[@lilianxu8888]

In this case, a math Olympiad candidate would not have wasted time solving the quadratic function.

[@KN9260]

数学は厳密な値を求めるのが目的だから対数のような 無理数を小数に直して概算で表すのは不適切。正解は 底を2、真数を5とする対数になる。

[@birdrun8004]

せめて、小数に直したところで”≒”にしてほしかったですね。

[@venantiussheela226]

You can use log first itself Or you can use synthetic division

[@evic1025]

2^x=5 => x=log2(5) by definition; and also x ≈ 2,32 (not x=2.33)

[@pappujha641]

That's the approximate value dear

[@evic1025]

@@pappujha641, and the mathematical symbol of approximate value is ≈ not =, dear

[@pappujha641]

@@evic1025 oh ! I don't knew that

[@achilesthegreatwarrior9933]

Expanding the equation... 😊

[@shiva.chennai]

It released my mind from pressure. Thank you so much for solving this.

[@YadaJiKaGanit]

Very good I am Indian.

[@Elceszar]

Si ; 130 = 13×5×2 Entonces (8^X + 2^X) es multuplo de 13; 5 ó 2 Haciendo : 2^X = a 8^X + 2^X = 130 restando 2a a^3 + a - 2a = 130 - 2a a^3 - a = 130 - 2a a(a^2 - 1) = 130 - 2a a (a-1)(a+1) = (a-1)(a)(a+1) = 130 -2a y como todos sabemos... el producto de tres numeros consecutivos es multiplo de seis ( mod6) ó (°6) mod6 = 130 - 2a °6 = 130 -2a - 132 ; ojo 132 = °6 °6 = -2a -2 => °6 = 2a+2 °6 = 2(a+1) --> (a+1) = °6 Remplazando a = 2^X en (a+1) 2^X + 1 = 6 2^X = 5 ----> X = lg en base 2 de 5 No olvidemos que 2^X ( 2^2X + 1) = 130 = 13×5×2 Observar que es multiplo de 5

[@dranjanaj7696]

Sir, thanks for teaching the 2 methods of a cubic equation. But I think, the student should not waste his time, trying to solve the quadratic equaing the root formula, once he gets numbers like square root of a negative prime number. Very interesting indeed.

[@DN-kz7xl]

In the beginning I could see there is no real solution.

[@user-xy2ez3hp2o]

Это же надо столько времени извлекать корень из отрицательного числа! Я уже подумала, что извлечёт.

[@emil4390]

logc(a) / logc(b) = logb(a) ---> logc5 / logc2 = log2(5) = 2.322

[@user-oo2qs7ev7p]

Well if we substitute the value of x in the above equation it should satisfy the equation will it satisfy

[@litog888]

I know u can use first order derivatives to answer these problems. An engineer showed me at grad school; it's like math acrobatics in simplicity. But that is only one shot deal since I don't use calculus at work & school was so long ago, so I've forgotten about it☹️

[@hua502]

❤ math

[@user-rb4vx7gl8g]

Большое спасибо!❤❤❤

[@yoshinaokobayashi1557]

set 2^x=s then s^3x + s=130=125 +5=5^3 +5, then s=5 is one answer. (s-5) (s^2 +5s +26)=0. other two answers are composite. consequently x=log(5, 2). Fin

[@Guulsnapsnature]

2.322 is a closer answer 🎉🎉🎉

[@dr.abdurahmanali9177]

8x8x2+2=130

[@fugazi1479]

I completely understand

[@gulboyrathesungod]

If you don't have access to Log tables, then... 2^x = 5 So, x is between 2 and 3. When x is 2, value is 4; when x is 3, value is 8; So, if it has to be 5, then the value of x will be x = 2+[(3-2)/(8-5)] = 2.33

[@observeroutside1087]

130~128=2^7 2^8=256 2^7 настолько приближено к 130 , что если пренебречь этой разницей , то получим уравнения 2^3х+2^х=2^7. 3х+х=7 х

[@alvarofernandez5118]

If you intend to reject complex roots, you can check the discriminant immediately, without going through the entire quadratic equation.

[@leetrask6042]

Thank God the equation can be factored. I'd hate to have to use the general solution for a cubic equation.

[@georgesologuren8535]

Not to be picky, really enjoyed it, shouldn't you use appropriate sign instead of equal?

[@johncrump328]

The scenic route! This is what turns people off of mathematics.

[@user-oo6hc7cq4v]

Что конкретно можно вычислить этим примером на практике?

[@alexandrpalkin3793]

человека которй не умеет в математику

[@ForzaAllegri]

Ty, watching it for fun. I miss math ❤

[@user-pi2my7vk5j]

Интересненькое разложение на множители уравненьица!

[@thanhhungnguyen1359]

Tôi tính nhầm cơ bản ban đầu x€(2÷3). Vì 130 gần 68 hơn 520 nên nó rơi vào đâu đó tầm (2.3 ÷ 2.4) bằng phương pháp nội suy tuyến tính. Tôi chỉ mất 30 giây để khoanh vùng đáp án. Để chính xác thì mất nhiều thời gian hơn. Toán học làm tôi nhức đầu khi các hằng đẳng thức bắt đầu hiện ra

[@ernestobie-wm1ei]

💯

[@user-ly5bc4xd2s]

تمرين جميل جيد . شرح واضح مرتب . شكرا جزيلا لكم والله يحفظكم ويرعاكم ويحميكم جميعا. تحياتنا لكم من غزة فلسطين .

[@eddareimer7348]

Krieg ich Kopfschmerzen. Unfassbar.

[@user-pz4gf9zs5g]

Долго ему пришлось возиться, чтобы понять, что уравнение не имеет корней и решения. Однако всë же интересно.

[@imkow]

what a mind game

[@tonitalas1757]

Pretty problem 😊

[@user-hh3fh1xy9s]

What are u doing now?

[@hungvuongquoc1895]

Bài Toán cũng khó nhưng khá hay nhưng Tôi cũng rất thích học môn Toán và Tôi cảm ơn Thầy...💫🌡️

[@MrISSHAH]

Making it too complex

[@tarifulislam7683]

nice math

[@jakariamaths]

Thank you for your valuable comment

[@akmalulhamdan1960]

Amazing

[@satishjain3857]

2.6

[@jung-suchoi4781]

도움이 되었습니다

[@andrewkruchini8614]

Don't understand why he rejected complex y at 9:05 and didn't find x as a complex power of 2.

[@davidrush4908]

He was solving for the roots, and did not have a method to deal with rhe complex logarithm. There are three roots and two are complex.

[@SDLG1337]

​@@davidrush4908незачем тогда и это видео снимать было Ещё и растянул кучу действий, которые можно было прооешать в уме. А он тратил по полчаса на них

[@nawalgupta3904]

प्लास, भेलू😂😮😅😊

[@hassand5165]

You´re a great teacher. Thanks for sharing your knowledge.

[@jakariamaths]

Thank you too for your valuable comment

[@179UCe_Tile]

8^x+2^x=130 => 8^x=130-(2^x), so therefore, I cannot answer ur question :(

[@Murali_bala13]

Too easy... Can't be olympiad, 20 secs tops to solve this It reduces to y^3+y=130 So y=5, x= log5 base 2

[@user-yx4je1fm3g]

Ну зачем так подробно!!! Все же понятно и так.

[@b213videoz]

Да ну! Так уж и понятно прямо "всё" и "всем". Гляди мой коммент, я по-хипстерски решил за минуту, рассписал за две 😂 ...а вот тVой тарабарский "яZiк" здесь точно 99% непонятен 😊

[@hunterbidon9423]

@@b213videoz Ну так хрюкай на свиномове, чего мучаешься на тарабарском.

[@EA-mj1kt]

Please use simples methods of solving the problem,don't complicated.

[@nak141]

Who the hell uses this in present life. 😂

[@user-kd6og3wb7b]

3

[@inyomansukarthajaya1534]

13

[@ludmilak9396]

Опять отвратительная концовка с приближенным вычислении. Не надо приближенное!

[@user-qo8nb7cz1p]

Заумно как-то , по моему можно проще.

[@user-md1uy3cg3u]

簡單的問題，複雜的解法😂😂

[@elenasavenkova8410]

До 2мин молодца. Угерек в 3степени плюс угерек равен 5в третьей степени плюс 5 игерек равен 5, икс равен корень квадратный из 5.

[@carloscaldeira3287]

Fiz de cálculo mental em 10 segundos. Não cansei a cabeça e não gastei tinta da caneta. Foi por isso que nunca gostei de matemática.

[@francescotomasello1143]

(A±B)^2=A^2±2AB+B^2 Credo che tu abbia sbagliato il quadrato di binomio: y^2+10y+25 😊

[@tonyc945]

x = log2(5) The "2" is a subscript.

[@arknowledge738]

Very nice explaination

[@jakariamaths]

Thank you for your valuable comment

[@jeevarathinam5852]

8*13 +2*13 =130

[@endardwiMTK]

❤❤❤

[@duanemcmikel9592]

Seems To He Has Compounded The Problem Well Beyond It's Original Challenge . I'm Not A Math Whiz But I Got x = 13 Long Time Ago Using Way Less Paper .

[@boguslawahalemba6783]

Troche zawile ale wyszlo mi tak samo..

[@YANAGITAtokinori]

Good explanation to understand ! Thax.

[@wisemysticaltree9027]

I’m more stuck on whether it’s y or ooowuheye

[@dhuramc-qo9nz]

5 cubed minus 5 equals to 120. 2 cubed, which was y cubed, is 8, plus y, which is 2, equals 130.

[@sydmichel]

Dho else skipped to the end to find out what the hell X equalled?

[@gizemyuce1439]

Too easy

[@hasanmehdi7219]

He has made the video so to gain the money

[@elieazar9383]

شرح طويل

[@volkerherbert9435]

8×11 + 2×11 = 130 × = 11

[@observeroutside1087]

Answer no right‼️‼️‼️‼️

[@JSSTyger]

I think you have to know y=5 before you start separating 130 into 125+5. Way too much extra work.

[@EamonnMcGonigle]

At 2:24 it was completely obvious that y=5. Everything from there to the x=log2(5) step is absolutely unnecessary.

[@khalidsyed3968]

This is a very long procedure, no need to use logs I can solve this in 5 steps From the first statement remove 2 power x common And the solution solves easily

[@RandomEntertainmentVideos763]

Js do guess and check 8*13+2*13=130

[@Sergiojr19]

Eu sabia fazer esse cálculo com maçãs 😂

[@yolandadesouzadias3474]

Não gosto de Álgebra,para que serve ?

[@gulboyrathesungod]

How many felt frustrated at the pace at which the problem was solved? It was like talking to flash in zootopia. 😂

[@user-dv8gv3hu4t]

Solution by insight 2^3x +2^x=130 2^x(2^2x+1)=130 5(5^2+1)=130 2^x=5 x=log_2 (5)

[@shahidkirmani5725]

Without mathicks man is consider Hichadda

[@costablanca4727]

И кой ответ???)))

[@Patrick-ug9yw]

Ça sert a quoi ce genre de calcul?

[@leocharaguiar9086]

X= 13

[@user-fg2cd7mg3h]

А так все просто начиналось😂😂

[@hunterbidon9423]

Ни слова не понял, просто заглянул, что у него там в конце. Я конечно не профессор математики, но по моему у него икс равен 2 умножить на 33, что является бредом. Или у них там точка не умножение означает?

[@geowallace9758]

thank god for that, Now i can sleep at nights

[@nak141]

Yeah, we all didnt sleep all this 50 yrs.😅

[@Krish54022]

😢😢😢

[@FUNNYPETSPH.]

i like the pawar😆

[@thanhhungnguyen1359]

y € (2 :3).

[@user-fq6su8cb2o]

Ответ можно получить проще: X=(ln130-ln9)/ln2.

[@nak141]

Whew! it just went above my head.... Why do you have to remind those school days... Just chill and let others enjoy others life... Joke..

[@tanish5462]

ITNA KARNE KE BAAD BHI APPROX HI NIKAAL PAA RHE SINGLE VARIABLE ITNA RULA DIYA DOUBLE VARIABLE HOTE TO LAST MAI SUICIDE LETTER LIKHNA PAD JAATA

[@rajendradhage8701]

१३

[@davidbenson2580]

8x +2x = 10x 10x= 130 x= 13 Easy peasy 8x= 104, 2x= 26, 104+26= 130 All done in one minute, none of the "BS" you just went through

[@killerjoke2945]

The variables "x" in the equation were exponents not factors though. Although I agree he took the long route, you didn't even understand what he was looking for.

[@dak71889]

Let’s take x value as 1. You will get 10, let’s take x value as 2 you will get 68, if we take x value as 3 we will get number larger than 130 for sure. So value of x will be between 2 and 3 . Solved.

[@suehrggeh200]

This guy litteraly Torturing himself to solve this problem bruh

[@thanhhungnguyen1359]

có thể vào phòng thi bạn phải làm vậy để ra đáp án chính xác. Nhưng thực tế tôi chỉ cần một cái máy tính bỏ túi casio với phương pháp nội suy tôi mất khoảng 20 giây là có đáp án

[@chaleomanilerd5626]

😢😢😢😢😢ฝ 😮😮😮😅😮😮😮😮😮

[@ozzy7589]

It was already solved literally like by second minute he took soooo long way to end 😂

[@ScientistPrepper]

Ghetto language now in math? Trashy.

[@EMTMZ]

Yes bro. Very critical minded person.

[@parajf]

CHATGPT ANSWER = x ≈ 2.3092 (rounded to 4 decimal places).

[@venuxxx11]

Simple method would be take logarithm on both sides. It will be a simple equation, i. Ee., K (X) = a number. (N). X=N÷K =Z. Anti log (X)=Anti log (Z). As simple as that. 😄