Solving a non-standard equation

Показать описание

ShakitovMath

Рекомендации по теме

Комментарии

Your problems are very interesting, very difficult for me to solve but gives me insight and valuable technique to solve such kinds of problems.

edcagas

I have an easier solution, the mains ideas are substitution and factorizing:
step 1: substitute u=x^3 NOTE: when I write √2022 it is solely 2022^1/2 throughout the whole calculation
u³-2023u+√2022=0
u³-2022u+(√2022)-u=0
u(u²-2022) + (√2022)-u=0
u(u-√2022)(u+√2022) - (u-√2022)=0
factor the common terms
(u-√2022)[u(u+√2022)-1]=0
(u-√2022)[u²+u*√2022-1]=0
After finding the solutions, and undoing the substitution, we have the three solutions found in the video :)

themibo

The final answer is very big. this is not accepted in maths.

nadkhaa

Solving a non-standard equation

Solving a Non-Standard Equation For Reals

Solving An Interesting Non-Standard Equation

Solving A Non-Standard Equation

Solving a non-standard equation

A Non-Standard Equation With One Solution

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

Let's Solve A Non-Standard Equation | Problem #112

Solving a Non-standard System of Equations

The Complete Guide to Dark Matter and Dark Energy | Space Documentary [4K]

Solving A Nonstandard Equation | Problem 150

Solving a Non-standard System of Equations in Two Ways

How To Solve A Non Standard Equation

Solving A Non-Standard Equation | A Special Function

Let's Solve A Nonstandard Equation

Solving A Nonstandard Equation in Two Ways

Solving A Nonstandard Equation | Problem #133

Non-standard Exponential Equation! / How to solve in two ways?

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

Solving an Equation in Non-standard Ways

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

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

Solving an equation in non-standard ways

Solving a Non-standard System of Equations | Two Ways

Solving A Rational Equation in A Non-Standard Way