In as much as there are faster solutions to questions like this, bear in mind that not everyone processes alike and some may require a step-by-step solution. Great content!
You have too many trivial and/or unnecessary steps to derive your solution. Students who follow you know all these trivial steps. Ajit Thakur. Ph.D. (USA).
You right sir, if the x is found then that is the end we don’t have to go back and start again. If, as they said, we didn’t make to the moon now I know why.
Its so easy. Its really an olympiad question?. I remember to solve many harder question in week tests when i was in high school.
From 2:58
64x²=x, divide both sides by 64x (or first by x then by 64)
x=1/64
No quadratic equations required 👍🏻
In as much as there are faster solutions to questions like this, bear in mind that not everyone processes alike and some may require a step-by-step solution.
Great content!
(4✓x)^2 = ✓(4x)
16x = ✓(4x)
(16^2)x^2 = 4x
(4^3)x^2 = x
x(64x - 1) = 0
x = 0, 1/64
Square both sides and factoring is the easiest way.
16 x = sqrt(4 x) = 2 sqrt(x)
8 x = sqrt(x)
64 xx = x
x = 1/64
( I missed the answer x = 0 which you also gave)
Можно все намного короче и быстрее решить .
8x=x¹/²
8x-x¹/²=0
x¹/²(8x¹/²-1)=0
x¹/²=0 or 8x¹/²-1=0
x=0 or 8x¹/²=1
x=0 or x¹/²=1/8
x=0 or (x¹/²)²=(1/8)²
x=0 or x=1/64
I solved it in 6secs in my mind without writing anything down.
Answer: 1/64 or 0
It take 1 minutes to solve in mind
You have too many trivial and/or unnecessary steps to derive your solution. Students who follow you know all these trivial steps. Ajit Thakur. Ph.D. (USA).
You right sir, if the x is found then that is the end we don’t have to go back and start again. If, as they said, we didn’t make to the moon now I know why.
It's like counting 100 to 1 standing upside down😂
1/64
Простейшая задача. Это не уровень олимпиада. Самая обычная задача русской школы.
Very easy
Вот уж точно наши студенты таким длинным и ненужным способом решать бы не стали.
Yeah
You took so long to solve it itstan easy equatt
EVERY step
Nice brother
0; 1/64.
What about absolute value?
😮
Lo hiceeee
Yes, or (and also step by step, gradually) ...
(4√x)² = √(4x)
16x = √(4x)
(16x)² = 4x
16²·x² = 4x
256x² - 4x = 0
4x·(64x - 1) = 0
/// case: 4x = 0
4x = 0
x = 0/4
x = 0
/// case: 64x - 1 = 0
64x - 1 = 0
64x = 1
x = 1/64
/// final result:
■ x = 0
■ x = 1/64
🙂
2:45 why didn't you divide both sides by x? It becomes too easy then: 64x = 1; x = 1/64
That is *incorrect* to divide both sides by x! You lose the solution x = 0.
@@robertveith6383 Ok, ok - you can have that 0
😁
X=0 verifica la ecuación..
There are 2 solutions
@@tontonbeber4555 La otra solución es x=1/64
(4.X^1/2)^2=(4.X)^1/2 ; 16.X=2.X^1/2; 8.X=X^1/2 ; 64.X^2=X ; solution 1, X=0 ; solution 2 if X#0 ; 64.X =1; X= 1/64
Wrong. Everywhere you have a fractional exponent, you must have it inside grouping symbols: x^(1/2).
X=0 it is clear before any long solutions😊
Or x= 1/64 it's a quadratic equation, it has 2 solutions :)
@@tontonbeber4555 сlaro que si senor ) no es Tonto).
I think also 10 years old guys can solve it
1/64 or 0 in mind
That is not the only solution.