Abinatamang
Abinatamang Abinatamang
  • 25-06-2019
  • Mathematics
contestada

if X²+ X + 1 =0 then the value of x ^3n is​

Respuesta :

LammettHash
LammettHash LammettHash
  • 25-06-2019

Recall that

[tex]1-x^n=(1-x)(1+x+x^2+\cdots+x^{n-1})[/tex]

So we have

[tex]x^2+x+1=0\implies\dfrac{1-x^3}{1-x}=0\implies x^3=1[/tex]

Then for any [tex]n[/tex], we have

[tex]x^{3n}=(x^3)^n=1^n=1[/tex]

Answer Link

Otras preguntas

What type of person is being depicted in the cartoon shown above?
Why did Wilson argue for “peace without victory”? Do you agree or disagree with his view? Why or Why not?
Why wasn't South Carolina upset when part of her land was given to Georgia?
Which of the following statements best describes the spread of communism in the years immediately following World War II?
The bowl shaped depression at the top of a volcano is a
How is adding integers similar to adding whole numbers how is it different
The U.S Census Brureau has a population clock on the internet.On a recent day the United States population was listed as 310,763,136. Write this number in word
what times what equals 72
what is the greatest whole number that rounds to 621860
How is adding integers similar to adding whole numbers how is it different