Factoring Algebraic Exponentials, An Algebraic Expressions With Unknown Exponents. 😒😒😒

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OnlineMaths TV

OnlineMaths TV

Күн бұрын

Пікірлер: 38
@bobwineland9936
@bobwineland9936 Жыл бұрын
If you have X^X =X^1/X then we have the same base X. So then X = 1/X. Or X^2=1 with two solutions X=1, X=(-1). This seems to be a much faster way to solve. Thank you Jake for your dedication to our learning mathematics 😊
@KulangLuderu
@KulangLuderu Жыл бұрын
Your are wonderful in giving solution I am like your way. Thanks Kulang
@onlineMathsTV
@onlineMathsTV Жыл бұрын
It's our pleasure to serve you and we are glad you gained some values from this video tutorial sir. We pledge to serve you better in the future. Much love for watching and commenting sir....💖💖💖💕💕
@alicefosua9776
@alicefosua9776 Жыл бұрын
I think , you can solve this by squaring both sides by x , and also taking log of both sides. By the thank you very much, keep up your good works.
@opulence3222
@opulence3222 Жыл бұрын
🧨👍👍👍
@jiaotang9505
@jiaotang9505 Жыл бұрын
Isn't it that from the original equation you get x=1/x based on law of exponents? Then from there you have x^2=1, which means either x=1 or x=-1? That should be straightforward.
@onlineMathsTV
@onlineMathsTV Жыл бұрын
That gives only two solutions and it is ok too sir.
@hardsg
@hardsg Жыл бұрын
​@@onlineMathsTVno zero can not be a solution 1/0 is undefined...so correct it
@hardsg
@hardsg Жыл бұрын
​@@onlineMathsTVsorry sir i went to straight to the end that i did not see that u said undefined.
@libardouribe7617
@libardouribe7617 Жыл бұрын
Super.
@onlineMathsTV
@onlineMathsTV Жыл бұрын
Many thanks sir......🤸‍♂️🤸‍♂️🤸‍♂️
@baawabaawa393
@baawabaawa393 Жыл бұрын
Equate the base form start, x=+-1
@onlineMathsTV
@onlineMathsTV Жыл бұрын
👍👍👍
@lzuluaga6064
@lzuluaga6064 Жыл бұрын
Divide por un término y luego iguala exponentes, factoriza y listo.
@onlineMathsTV
@onlineMathsTV Жыл бұрын
Bravo 👍👍👍
@FractAlkemist
@FractAlkemist Жыл бұрын
My Python equation solver (Genetic Algorithm) gives two values to solve the equation: x = -1 and x = +1. Zero is not valid as you get divide by zero error. Negative values for x (other than (-1)) give IMAGINARY numbers! Positive values for x (other than (+1)) give real numbers not much different from the input (x).
@onlineMathsTV
@onlineMathsTV Жыл бұрын
Zero is extraneous here. Thanks for the keen observation sir. Respect ....👍👍👍
@comdo777
@comdo777 9 ай бұрын
asnwer=1x
@lumionne0
@lumionne0 Жыл бұрын
can't we just go with x = 1/x since both bases are the same on both sides?
@onlineMathsTV
@onlineMathsTV Жыл бұрын
Yes, but that will exclude the third solution
@severusndingombaba9566
@severusndingombaba9566 Жыл бұрын
There is no third solution. 0^0=0^(1/0) is not defined.
@enki354
@enki354 Жыл бұрын
I must be watching this on acid. It's true 0^0 and 1/0 are undefined; which means they can't be extraneous roots of anything. The answer to this would be the empty set. If I'm wrong please tell me why.
@severusndingombaba9566
@severusndingombaba9566 Жыл бұрын
0^0=1, 1/0 is indeed undefined
@habeebalbarghothy6320
@habeebalbarghothy6320 Жыл бұрын
لماذا لم تستخدم اللوغاريتم الطبيعي او العشري من البداية ؟ ام ان هدفك إطالة مدة الفيديو
@severusndingombaba9566
@severusndingombaba9566 Жыл бұрын
x^(1/x)=0 has no solution.
@Frank-kx4hc
@Frank-kx4hc Жыл бұрын
In R, with base X and exponent p , this equation is equivalent to: X^p=1 • X=1 and p defined, • or X=-1 and p EVEN, • or p=0 and X0. See this trick here: kzbin.info/www/bejne/l3illmyFl9afraM
@onlineMathsTV
@onlineMathsTV Жыл бұрын
Nice one
@s.h.munasingha2590
@s.h.munasingha2590 Жыл бұрын
X= 1 or X= -1
@onlineMathsTV
@onlineMathsTV Жыл бұрын
Bravo!!! 👍👍👍
@Pascal-cy9sc
@Pascal-cy9sc Жыл бұрын
x^(x-1/x)=1までは良かったのに、何故わざわざ両辺の対数を取る必要があるのですか???対数を取る条件は、指数部分を前に出す条件は、真数が正の実数つまり、x>0の時で無いと一般には成り立たないですよ😅x^(x-1/x)=1なら、底の部分x=1になるか、指数部分x-1/x=0 又は底の部分x=-1の時に指数部分x-1/xが負も含めて偶数になるか、底の部分x=±iの時に、指数部分x-1/xが4の倍数になる場合なので、この全ての場合を求めれば、x=±1が解になります。
@onlineMathsTV
@onlineMathsTV Жыл бұрын
Bravo👍👍👍
@MaurisonAgba
@MaurisonAgba Жыл бұрын
Your approach is unnecessarily long
@onlineMathsTV
@onlineMathsTV Жыл бұрын
Noted sir. We will give a more concise approach in subsequent solutions. Much love ....💕💕💕💖
@severusndingombaba9566
@severusndingombaba9566 Жыл бұрын
...and incorrect
@215055vv
@215055vv Жыл бұрын
THERE IS ONLY ONE SOLUTION TO THIS EQUATION AND THAT IS X=1. YOU SHOULD NOT BE TEACHING.
@onlineMathsTV
@onlineMathsTV Жыл бұрын
Noted, I will obey your command and end this program sir. Your wish is my command master.
@enki354
@enki354 Жыл бұрын
Could you please explain why this is the case?
@severusndingombaba9566
@severusndingombaba9566 Жыл бұрын
There are in fact two solutions, 1 and -1. The "third solution x=0" is bullshit.
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