A Radical Exponential Equation | Algebra Challenge

[@Allstuffthatfascinates]

since both the surds are reciprocal of each other, so x=-11

[@freddyalvaradamaranon304]

Muy interesante video sobre una ecuacion exponencial con radicales, muchas gracias por compartir tan buena explicación 😊❤😊.

[@ganeshdas3174]

They are reciprocal to each. As such (√5 + 4) ^x =(√5 + 4)^- 11 x = - 11

[@YagyaJoshi-oz1wi]

thanks!

[@phill3986]

👍🔥😎✌️✌️😎🔥👍

[@maxwellarregui814]

Buenas tardes Señores SyberMath. Gracias el video es muy bueno, las alternativas para resolver un ejercicio es un gran aporte, felicitaciones por la difusión clara de las Matemáticas. Por favor me podría ayudar con la determinación de los límites de las indeterminaciones: 1^ infinito; infinito ^ 0 y 0 ^ 0. me interesa las demostraciones y ejercicios de su aplicación. ( pre-calculo ) sin aplicar el teorema de L' Hospital. Gracias por la atención que se me brinde. Éxitos.

[@Ahwke]

❤great

[@SyberMath]

❤

[@Nothingx303]

X = -11 by head calcula

[@rakenzarnsworld2]

x = -11 0.236^11 = 4.236^(-11)

[@rickdesper]

When you see (a+b) and (a-b) in the same equation, it's natural to look at a^2 - b^2. In this case (sqrt(5))^2 - 2^2 = 1. So (sqrt(5) + 2) = (sqrt(5)-2)^(-1). Which means this is a very easy problem.

[@Allstuffthatfascinates]

-11 easy

[@msmbpc24]

-11

[@vladimirkaplun5774]

Fields Medal indeed

[@SyberMath]

Thanks! 😍🥳😄

[@FisicTrapella]

I used 2nd method. It's pretty easy.

[@ashishpradhan9606]

Hello brother 🤠. Remember me? Sorry i have to stop watching your videos as i have to pursue Medical science. I suddenly remember of your channel when i see a math puzzle online. Love to see your growth and consistency 😊. Lots of luck🤞

[@SyberMath]

Hi Ashish, how is your studies going? Thank you for the kind words! Hey, when you need to take a break from medicine watch some videos and stay engaged 😀

[@ashishpradhan9606]

​@@SyberMath Yes brother. I still love math puzzles. Hey one more thing, i have observed that you aren't making any geometry problem like old days? Its used to be one day geometry and one algebra and one calculus? Anyway. I still love your videos. Specially functions algebra and exponent 😊

[@赖皮球]

（sqrt(5)+2)=(sqrt(5)-2)^(-1) so （sqrt(5)+2)^x=(sqrt(5)-2)^(-x)=(sqrt(5)-2)^11 so x=-11

[@scottleung9587]

I also got x=-11 as the only solution.

[@godlegendknows]

did it in 3 second in my head too easy

[@SyberMath]

😮😄

[@HoSza1]

you forgot about complex

[@giuseppemalaguti435]

(√5+2)^x=(√5+2)^(-11)...

[@s-squaremaths6055]

-11