This is what I want to write exatly. b(b² - 3) = 0 -> A product is zero if at least one of its factors is zero. So b = 0 or ( and does not apply here ) b² - 3 = 0 -> b² = 3 - > b = ±√3
I have no knowledge of this. My brain is so artistic. But i think this is meant to be a way to understand HOW math works, not why or the fastest way...
@@chriscanis1554 no exactly. Logic is: let's assume two situations. First b=0 , second b≠0 In first situation b=0 is root In second situation we can divide by b, because we calculate in field where b cannot be zero. It is just separation.
@@chriscanis1554 Just seperate the two cases. Case 1: b can be 0 and case two b must not be zero. I wasn't going to write a book about this simple problem. So I shortend the answer. Key fact is: His way is far to complicated. You have to be able to solve a problem in a finite amount of time.
b=0 is an obvious solution. Thus we may assume that b is not zero. Divide b-cubed equals 3b by b to obtain b-squared equals 3 and hence b equals plus or minus square root of 3 or b equals zero as complete solution.
Thanks for the great effort and time to solve the problem, Evidently the demonstration of each root was not for people that understand the procedures, it was developed for less skilled learners or for those in lower levels of maths. Greetings.
Muy bien explicado, no entiendo los comentarios que dicen que no es necesario tanto proceso.... El lo hizo para explicar de forma pedagógica. Saludos desde Colombis
Se entiendo el proceso pedagógico y el proceso lógico detrás de toda la resolución del video... pero precisamente no es necesario cuando el proceso lógico de b=0 y b= +-raiz de 3 es más simple, rápido y ofrece el mismo resultado
1:17 a=√(a²) is wrong. Let take a=-1 √(a²)= √((-1) ²)=√1=±1 So a=±1, a=-1 or a=1, but we took a=-1, so -1≠1, so a≠√(a²) a=(√a) ² is correct and since you went with this equation, you got the right answer, but a=√(a²) is wrong
No entiendo ¿ Qué problema tienen en los comentarios con el cero? El término independiente, sin parte literal, es igual a cero, por lo que es una raíz evidente. Precioso video.
Как только в математику ввели буквы, математика превратилась в философию. Оставьте прости цифры без букв, и станет легко и понятно. А буквы используйте для поэзии
b(b^2-3)=0… Then solutions are 0,+sqrt(3), -sqrt(3). Not a rocket science. I had my 5th grader niece and solved in less than 2 minutes. Is it just you want to make lengthy youtube videos?
b+b+b=b*b*b ->
3b = b³ ->
b³ - 3b = 0 ->
b(b² - 3) = 0 ->
b = [0, ±√3] .. and we are done
Correct .
This is what I want to write exatly. b(b² - 3) = 0 -> A product is zero if at least one of its factors is zero. So b = 0 or ( and does not apply here ) b² - 3 = 0 -> b² = 3 - > b = ±√3
LOL, it can be resolved in 15 seconds
I have no knowledge of this. My brain is so artistic. But i think this is meant to be a way to understand HOW math works, not why or the fastest way...
Why so complicated? 0 is an obvious solution. 3b=b*b*b Just divide by b -> 3=b*b (obviously two results) Done in less than a minute!
@@chriscanis1554 no exactly. Logic is: let's assume two situations. First b=0 , second b≠0
In first situation b=0 is root
In second situation we can divide by b, because we calculate in field where b cannot be zero. It is just separation.
you are very smart
@@chriscanis1554 Just seperate the two cases. Case 1: b can be 0 and case two b must not be zero. I wasn't going to write a book about this simple problem. So I shortend the answer. Key fact is: His way is far to complicated. You have to be able to solve a problem in a finite amount of time.
Мало найти ответ эмпирически. Надо составить корректную, формальную запись решения. С обоснованием всех корней.
@@АлексейБигвава достаточно подобрать и пояснить, что больше нет.
b+b+b=b.b.b
3b=b³
Divide b on both side
3b/b=b³/b
3=b²
±√3=b
Hence b=±√3
Means b=-√3 ,b=√3
3b = b³
b = 0 (trivial solution)
3 = b²
b = ±√3 (two solution)
Less than 1 minute to solve.
@@andredcavalcante Молодец!
b=0 is an obvious solution. Thus we may assume that b is not zero. Divide b-cubed equals 3b by b to obtain b-squared equals 3 and hence b equals plus or minus square root of 3 or b equals zero as complete solution.
Him: b+b+b = bxbxb
b = ?
Me: 0🍷🗿
Thanks for the great effort and time to solve the problem, Evidently the demonstration of each root was not for people that understand the procedures, it was developed for less skilled learners or for those in lower levels of maths. Greetings.
Why does he take such a long way.
3b = b.b.b
Divide by b
3 = b.b
Square root
b = √3
It took me 3 seconds instead of 10 mimutes
yes, your logic is on point.
Excelente ejercicio y explicación, sensacional. Gracias 👌👌
Muy bien explicado, no entiendo los comentarios que dicen que no es necesario tanto proceso.... El lo hizo para explicar de forma pedagógica. Saludos desde Colombis
Se entiendo el proceso pedagógico y el proceso lógico detrás de toda la resolución del video... pero precisamente no es necesario cuando el proceso lógico de b=0 y b= +-raiz de 3 es más simple, rápido y ofrece el mismo resultado
1:17
a=√(a²) is wrong.
Let take a=-1
√(a²)= √((-1) ²)=√1=±1
So a=±1, a=-1 or a=1, but we took a=-1, so -1≠1, so
a≠√(a²)
a=(√a) ² is correct and since you went with this equation, you got the right answer, but a=√(a²) is wrong
Pero chico!! Lo hice mentalmente en dos pasos, 3b = b b b , 3 = b b b / b, 3 = b b , b = √3
b1=0; b2=√3; b3=-√3.
I solved it mentally without using pen&paper.The answer is+- 3 under root.
and 0!
0, +- sqrt(3). Total of three answers for power three equations.
(b+b+b ) ÷b = b.b
b/b+b/b+b/b = b^2
1+1+1 = b^2
Therefore b= +- √3
What a long way of going it. The 3 simple roots are obvious from inspection right at the start
Это корректная формальная и обоснованная запись анализа. С обоснованием корней. Алгебра это ведь анализ. Не так ли?
You are solving in round about manner. b+b+b=b.b.b / 3b=bcube / 3=bsquare / b = sq.rt of 3
Of course I agree 👍
3b = b.b.b
3= b.b
b=√3
b= 1.73
b+b+b=b.b.b
3b=b^2.b
3=b^2.b/b
3=b^2
b=√3 or b=-√3
3×b=b^3;
b^3-3×b=0;
b(b^2-3)=0;
b(b+sqr(3))(b-sqr(3))=0;
b1=0, b2=-sqr(3), b3=sqr(3).
3b=b³
3b/b=b³/b
3=b²
√3=b
oh and of course we also have 0 because both of the sides are only multiplication
3b = b^3
0 = b^3 - 3b
0 = b (b^2 - 3)
b = 0 v b^2 - 3 = 0 /√
|b| = √3
b = 3 / b = -3
R: b = -3, 0, 3
Greetings , you have chosen the long vay , to solve the problem , Good lock wehad fun.
Thx 4 mental exces,keepit up 4 learners
Ну устно же:
3b=b³
b=0
b=±√(3)
b+b+b=b.b.b=>
3b=b^3=> 3=b^2=>b=-√3 ou b=√3 condition b=0
Thank you.
b+b+b=b×b×b ⇒ b=0
3b=b³
3=b²
b=√3 , b=-√3 , b=0
b1=0; b2=sqrt(3); b3=-sqrt(3).
I usually watch this to get to sleep 😅
The music is very disturbing. The math is good.
This is very easy.
b+b+b=b×b×b
3b=b³
b³-3b=0
b×(b²-3)=0
b²-3=0 or b=0
b=±sqrt(3) or b=0
Just approximately 2 means 6 and 8. 2 point something. +- because it is 3 try root 3.
No entiendo ¿ Qué problema tienen en los comentarios con el cero? El término independiente, sin parte literal, es igual a cero, por lo que es una raíz evidente. Precioso video.
bbbb is what. 4b equals b4. 8 and 16. Cube root of 4. Maybe.
Tra un passaggio e il successivo e per dividere le soluzioni devi usare il punto e virgola e non la semplice virgola. Sii preciso
b = 0 v b = ± root(3)
This Solution is not only
mathematitions ,for biginars n laymans too😊😊😊😊
0😊
The best method to make stidents hate math.
Using the difference of squares is overcomplicating the problem solving process...
Как только в математику ввели буквы, математика превратилась в философию. Оставьте прости цифры без букв, и станет легко и понятно. А буквы используйте для поэзии
Математика - это и есть настоящая поэзия.
Решается в уме, при чем тут олимпиада? 😮
B+B+B = BBB = Grêmio 😅
b=0 ou b=racine de 3 ou b= -racine de 3
Вот занунуда. Молдец. Я b=0 не учел. )
b(b^2-3)=0… Then solutions are 0,+sqrt(3), -sqrt(3). Not a rocket science. I had my 5th grader niece and solved in less than 2 minutes. Is it just you want to make lengthy youtube videos?
Too complex and too long.
b^3-3b=0
b(b^2-3)=0
b=0 and b=(3)^0.5 and -(3)^0.5
Ufficio complicazioni affari semplici
b=Sqrt3=1,732
Never mind the maths, what is that blue pen and where do you get them from…?!😂
√3 y -√3
Решил за 30 секунд,прям спидран
I may bee dumb but
Isnt -root of 3 squared give 3 abd then time -root of 3 gives -3 root of 3 ? Which is not equal to 3 root of 3 ??
3b=b^3 , 3=B ^2, B=+-raiz de 3 kkkk
Cevap √3
😂😂😂😂😂😂
8' for a stupid equation 😂
sqrt(3)
Cansei....
1 ou 0
b=正負根號3或0
Это очень просто решить,в уме 9а секунды. Ответ 0
Seems to be unworthy for use on Maths Olympiads. Too simple.
+-√3
0+0+0=0.0.0 -b -0
1
Вроде как устное решение)))
@@Alexander_M61 pruwetctwuyou was ,washe mnenie absolyutnoe ppawilnoe
3b=b,^3,,,,>b=✓3
Sqrt3
You can only solve it if you let b = x
b is o and 3^1/2
B = 0
b=+or-√3.
😂
Root3?
Premissa: b, diferente de zero, né??
Why do you have to rewrite the problem all over again? Go straight to solving the problem.
Te ahoga en un vaso de agua
Ответ b=0.
b = 0, tambem satifaz a igualdade, ou não?
So much stupidity to solve an easy solution of a problem
Yeah, he's definitely drawing it out to get past a certain playtime
Il obtient même des likes. 🤦
b=2
Useless only the 0 can have the same result with + and ×
b= 0, b= ✓3, b= -✓3.
b = 0
0,√3
0+0+0=0*0*0
В+В+В=В*3
В*3=В*В*В
В*В=В²
В=√3
B=0