Prove that `x^2023+y^2023+z^2023=0` If `(x^2+y^2+z^2)/(a^2+b^2+c^2)=x^2/a^2+y^2/b^2+z^2/c^2`

• This is the problem that I picked from Vietnamese collection problems which is the basic for kind of this question. 
• From that origin problem is `x^2019+y^2019+z^2019=0` but, I have changed it to `2023` .

If `x+1/x=2` Find the value of `x^5+1/x^5`

 If `x+1/x=2` Find the value of `x^5+1/x^5`

As we had: `x+1/x=2` `rightarrow(x+1/x)^2=4` `leftrightarrowx^2+1/x^2=2`

We continue with `(x^2+1/x^2)(x+1/x)=4` `leftrightarrowx^3+x+1/x+1/x^3=4`

                                `leftrightarrowx^3+1/x^3=2`

Prove that: `1/2+1/5+1/8+1/11+1/20+1/40+1/110+1/1640=1`

 1. Prove that: `1/2+1/5+1/8+1/11+1/20+1/40+1/110+1/1640=1`

Solution

We observe that: 

                            `1/2+1/5+1/8+1/11+1/20+1/40+1/110+1/1640`

                           `=1/2+1/20+1/5+1/8+1/11+1/110+1/20+1/1640`

                           `=22/40+13/40+11/110+41/1640`

                           `=22/40+13/40+4/40+1/40`

                           `=40/40=1`

Hence, `1/2+1/5+1/8+1/11+1/20+1/40+1/110+1/1640=1`

Why 1=2

 Why 1=2

In Mathematics operation and logical 1 is equal to 1, can not equal to 2. But, the question here is 1=2?  How do you think about this statements?
It is the common problem that you guy should think about its mistake. For me, I can not believe it. I will find the proof for you which is the statement above is truth.

Let's 100=100

Click Here To Find More Math Problem

As you see in the solution, and the conclusion 1 is equal to 2. 
Let's give any idea about this problem and find the mistake of the solution.
Thank you!

Vietnamese's Mathematics Problem

 Vietnamese's Mathematics Problem

These problems I have researched in many Vietnam Math Books to share in my blog. But, I hope these problems can help you to fulfill your shortages of Math. If you want to be good at Math, the only thing you must do is Do More Math Problems Every Day. Push yourself, motivate yourself to be crazy with study, especially Math.

Let's try to solve these problems:
I will release the link for you to download the book so that you can find the solutions by yourself.

Click Here To Download Book

Click Here To Download This Book

Click Here To Download

I hope my efforts can be a small factor of your studies.

Thank you!

Enjoy your study

Khmer Math Book For Grade 9

Khmer Math Book For Grade 9

This a Math Book of Khmer author which collected all problems and solutions for Cambodian students. In this book, collected since 1986 to 2015 of all examination which were taken place in national grade of testing.

Link To Download This Book:

Download Here

As you can see in the photon.

How To Do With This Book

In order to study effectively with this book, you should try to do by yourself by just looking to the problems, then you should try to think about the tips to solve those problems. The more you think, the more you understand.

Here Another Book

Download This Book Here

1001-Problems For Grade 9