วีดีโอ

0.209 / 0.117 = 1.786 --> 1.79

日本の進学校の子なら簡単に解いちゃうね

2:42 extra bracket !

64-25=39; √x/2=2, so x=16; √y/2=2, so y=16.

𝑿=6 𝒂𝒍𝒔𝒐 𝒔𝒂𝒕𝒊𝒔𝒇𝒚𝒊𝒏𝒈 𝒕𝒉𝒆 𝒆𝒒𝒖𝒂𝒕𝒊𝒐𝒏 !!

Один корень потеряли, равный -1/2

❤🎉❤🎉

🎉❤🎉❤

Solutions of trigonometrics equation is the key. Please correct your video to give students the good answers.

просто посчитать? серьезно? а чего тогда сразу в степени не возвести и отнять?

Urat exercițiu și complicat....

case 7: 1 x 255 case 8: 255 x 1

thanks you. good exelent!!!!!!

Olympiad Math exponential problem: 2ª + 4ª + 8ª = 39; a =? a > 0, 8ª > 4ª > 2ª > 0; a ϵ R⁺, 2ª + 4ª + 8ª = 2ª + (2ª)² + (2ª)³ = 39 Let: b = 2ª; 2ª + (2ª)² + (2ª)³ = b + b² + b³ = 39, b + b² + b³ - 39 = 0, b = 2ª > 0 (b³ - 3³) + (b² + b - 12) = (b - 3)(b² + 3b + 9) + (b - 3)(b + 4) = (b - 3)(b² + 4b + 13) = 0 b² + 4b + 13 > 0, b ϵ R⁺; b - 3 = 0, b = 3 = 2ª, a = log₂3 = 1.585 The calculation was achieved on a smartphone with a standard calculator app Answer check: a = log₂3 = 1.585, 2ª = 3: 2ª + 4ª + 8ª = 2ª(1 + 2ª + 2²ª) = 3(1 + 3 + 9) = 39; Confirmed Final answer: a = log₂3 = 1.585

А ввести новую переменную не пробовали. Z=4^x

Superb sir

2.365 -- transforming simple into extremely complex.

Writing out is too slow!!!

Что за ужас? Решила за пару минут, получив 9-4\/5 = 0.056. Мне 64 г

x^4 +/- x^3 - 180x^2 - x + 8010=0 , (x-10)(x^3+10x^2-80x-801)=0 , x=10 , x^3 + 10x^2 - 80x - 801=0 , (x+9)(x^2+x-89)=0 , x= -9 , 1 -10 1 9 x^2+x-89=0 , 10 -100 1 9 x=(-1+/-V(1+356))/2 , -80 800 -89 -801 x= (-1+V357)/2 , (-1-V357)/2 , -801 8010 result , x= 10 , -9 , (-1+V357)/2 , (-1-V357)/2 , solu , x= 10 ,

There is a much easier way. x = sqrt(90 + sqrt(90 + x)) This represents an infinite series, which you can see by repeatedly substituting the right-side into x on the right-side. x = sqrt(90 + sqrt(90+ sqrt(90 + sqrt(90+ .... And that infinite series can be written equivalently as x = sqrt(90 + x) With that simplification of the original equation, to solve it first note that x is the positive square root, so x must be positive (x = 0 is NOT a solution) x^2 = 90 + x (x - 10)*(x + 9) = 0 Since x must be positive, the only solution is x = 10

Методом подбора - за 10 секунд...

6:05 y=10-x; (x+y)²=10²; x²+y²+2xy=100 (x²+y²+2xy=100)-(x²+y²+xy=84)=(xy=16) x(10-x)=16; x²-10x+16=0 => x=(8, 2) y=10-x=(2, 8); (x, y)=(8, 2),(2, 8) 😁

Mucho más sencillo!! A simple vista, la igualdad se verifica cuando el seno cuadrado es 1 y, por consiguiente, el coseno cuadrado es 0, lo que ocurre en pi/2 + k pi, con k entero, luego la solución es x = pi/8 + k pi/4, que reúne los dos conjuntos de soluciones obtenidas. Fácil!!

Mucho más sencillo!! Son las tres raíces cúbicas de 64, todas de módulo 4 y argumentos 0º, 120º y 240º, es decir, 4, 4(cos 120º + i sen 120º) = 2(-1 + i raíz(3)) y 4(cos 240º + i sen 240º) = 2(-1 - i raíz(3)). Fácil!!

Answer at a glance in 10 seconds. It is Asian math power, but missing solution process. Different culture.

Nice explanation

..m = ln45/ln3 = 3,46497....irracional

The solution x= 4 is very easy to see.If one looks at the graphs of y= x/4 and y= 16/x^2 it is also clear that this the only real solution.

K-1=2 K=2+1=3

b - a = 3 b = a + 3 a(a + 3) + a = 32 a^2 + 4a = 32 a^2 + 4a - 32 = 0 (-4+or-sqrt(16 - 4*-32))/2 = a (-4 + 12)/2 and (-4 - 12)/2 = a a = 4 and a = -8 When a = 4, b = 7 When a = -8, b = -5

beautiful

Dope

My way is ... different (few steps): 9^(x + 1) - 9^(x - 1) = 20 9ˣ·9 - 9ˣ/9 = 20 9ˣ·81/9 - 9ˣ/9 = 20 (9ˣ·81 - 9ˣ)/9 = 20 9ˣ·81 - 9ˣ = 180 9ˣ·(81 - 1) = 180 9ˣ·80 = 180 9ˣ = 9/4 x = ln(9/4)/ln(9) x ≈ 0.369070 --- /// final result: ■ x = ln(9/4)/ln(9) ≈ 0.369070 🙂

X=4

Easier to let u = 1/√n, or u = 1/n and later v = u². It becomes a very simple quadratic equation.

X=2

Ответ 3 и тут вообще нечего японизировать. Хотя может жапонцам это сложно.

golden ratio again.😮

Dommage il manque plusieurs parenthèses

9^(x+1)-9(x-1)=20 9*9^x-(9^x)/9=20 9^x*(9-1/9)=20 9^x*(81-1)/9=20 9^x*(80/9)=20 9^x=20*( 9/80)=9/4j X=(log (9/4) 9 =log 9- log 4 9 9 = 1-log 4 9 ,

Даже не считая понял что х=7 и у=5

Very nice sir

x = {-1/2, +/- (phi -1)/2}

Vamos a sacar el número atómico que es el Calcio (Ca) que es el elemento de la fusión de protones que tiene una estrella en sus gases como materia de la formación de materiales químicos de ebullición. 9^⁽*⁺¹⁾ - 9^⁽*⁻¹⁾ = 20 p = 9^⁽*⁾ 9.p - 9^⁽⁺¹⁾ . p = 20 9.9^⁽*⁾ - 1/9 . 9^⁽*⁾ = 20 81^⁽*⁾ - 1/9 . 9^⁽*⁾ = 20 80^⁽*⁾/9 . 9^⁽*⁾ = 20 9^⁽*⁾ = 20.9/80 9^⁽*⁾ = 9/4 x = ₉ 9/4 x = Log₃(3/2)

X=7, y=5.

64^4=16^6 16^6 - 16^5 =(16^6 /16) x 15

This was mesmerizing. No wonder I used to like doing long algebra problems. (I am old now.) Two comments: You almost blew it by messing up a negative sign after all that work. I always encouraged my students to change all minus to plus opposite to minimize that kind of mistake. Otherwise you are doing this in your head and leads to the most common error ( I taught algebra for years.) My second observation was that if you were going to use a calculator in the last step, why not use it in the first step and save all those steps? You should have just left it in radical form, or used a calculator to check it.

Very educating combination instrument in the background ❤❤

Почему видео тормозит?