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

use the equation y= -2+1. complete each problem(0,_)      (-5,_)      (20,_)      (-68,_)
How do you simplify 11c + 3(-5c + 4d)?
A musical instrument depreciates by 20% of its value each year. What is the value, after 2 years, of a piano purchased new for $1200?
a woman has $1.70 in dimes and nickels.She has 5 more dimes than nickles. How many nickles does she have
Which of the following are not a spore-bearing vascular plant? a. ferns b. cycads c. club mosses d. horsetails
Which of the following statements does NOT contribute to the evidence in support of evolution? (A) Sequences of fossils have been found that show a gradual seri
Though most volcanoes are mountains, most mountains are not volcanoes, why or why not?
A car rental company sells accident insurance to 24% of its customers. Out of 550 customers, about how many customers are predicted to purchase insurance?
use the order of operations to evaluate each expression. 4x4+3
What are 2 thirds of 800