A Non-Standard Equation | Math Contests

preview_player
Показать описание
🤩 Hello everyone, I'm very excited to bring you a new channel (aplusbi)
Enjoy...and thank you for your support!!! 🧡🥰🎉🥳🧡

If you need to post a picture of your solution or idea:
#algebra #challenge #exponents
via @YouTube @Apple @Desmos @NotabilityApp @googledocs @canva

PLAYLISTS 🎵 :

  1. SyberMath
Рекомендации по теме
Solving a Non-Standard 0:04:34

Solving a Non-Standard Equation For Reals

Solving A Non-Standard 0:09:05

Solving A Non-Standard Equation

A Non-Standard Equation 0:09:56

A Non-Standard Equation with Natural Logarithm

A Non-Standard Equation 0:08:42

A Non-Standard Equation with One Solution (k is positive)

A non-standard logarithmic 0:08:11

A non-standard logarithmic equation

A Non-standard Exponential 0:04:35

A Non-standard Exponential Equation

A non-standard quartic 0:06:09

A non-standard quartic equation

Solving a Non-standard 0:10:17

Solving a Non-standard System of Equations

Change Quadratic Equation 0:03:01

Change Quadratic Equation from General Form to Standard Form

Solving a Non-Standard 0:07:27

Solving a Non-Standard Equation, 2^{x^2}=1-x^8

Solving a nonic 0:07:08

Solving a nonic equation using a non-standard method...An algebra challenge...

Solving a Non-standard 0:12:45

Solving a Non-standard System of Equations in Two Ways

A Non-Standard Radical 0:09:48

A Non-Standard Radical Equation

Solving a very 0:06:54

Solving a very radical equation using a non-standard method. An algebraic challenge...

A Non-Standard Equation 0:05:39

A Non-Standard Equation | ln(x)=1/2-x

Let's Solve A 0:09:30

Let's Solve A Non-Standard Equation | Math Olympiads

A Non-Standard Exponential 0:09:59

A Non-Standard Exponential System

Solving 2^x=x+(1/x), a 0:10:18

Solving 2^x=x+(1/x), a Non-Standard Equation

A Non-Standard Golden 0:09:12

A Non-Standard Golden Exponential Equation

A Non-Standard Equation 0:08:38

A Non-Standard Equation | e^x-x^2=1

Solving a Non-standard 0:07:28

Solving a Non-standard Exponential Equation

ALEKS: Using the 0:06:38

ALEKS: Using the Nernst equation to calculate nonstandard cell voltage

A Non-Standard Trigonometric 0:06:35

A Non-Standard Trigonometric Equation

Solving 3^x+x^3=17, a 0:04:26

Solving 3^x+x^3=17, a Non-Standard Equation

Комментарии
Автор

As you showed by each function (1/2)^x or 2^(-x) is a decreasing function meeting with the linear line functiom (1)(x + 6) that increases in the same intervals. The play with W Lambert function on the ratio to the power eaualling the linear line was interesting! ☺️👍

lawrencejelsma
Автор

I was glad to see you work out what W(n) was without Wolfram Alpha. With x being an integer, I knew there had to be a way.

One thing about how my brain works: I would have just divided ln16/ln2 = log_2(16) = 4. Probably because I never knew about being able to move log down until I started warching your videos. I passed freaking Calculus without ever using ln(2^x) = xln2.

ZipplyZane
Автор

I found x=-2 and it is the only one solution because y=x+6 is an increasing funcion while y= 1/2 is a decreasing funcion

mcumer
Автор

A Non-Standard Equation: (1/2)ˣ = x + 6; x = ?
(1/2)ˣ = 1/2ˣ = x + 6, 2ˣ(x + 6) = 1; x < 0
Solving the exponential equation using Trial-and-error math:
x = – 1: 2ˣ(x + 6) = (– 1 + 6)/2 = 5/2 > 1
x = – 3: (– 3 + 6)/8 = 3/8 < 1; – 1 > x > – 3
x = – 2: 2ˣ(x + 6) = (– 2 + 6)/4 = 1; Proved
Answer check:
(1/2)ˣ = x + 6; Confirmed as shown
Final answer:
x = – 2

walterwen
Автор

X=-2....is the only solution...
Verified graphically

sunny_
Автор

Most important lesson here: manipulate equations but NOT people 🤗😔

marwansal