luzbee luzbee
  • 05-07-2021
  • Mathematics
contestada

Find all the roots of the equation
[tex] {x}^{6} - 64 = 0[/tex]
​

Respuesta :

vsk65txpzp vsk65txpzp
  • 05-07-2021
Standard form:
X^2 -64=0
Factorization:
(x+8)(x-8)=0

Solution:
X+8=0 x^1=-8
X-7=0. X^2=8
Answer Link
loconte loconte
  • 05-07-2021

Answer:

x = 2

x =-2

x =1 +√3i

x =1 -√3i

x =-1 +√3i

x =-1 -√3i  

Step-by-step explanation:

[tex]x^{6} -64 = 0\\(x^{3} -8)(x^{3} + 8) = 0\\ \\( x - 2) (x^{2} + 2x + 4)( x + 2) (x^{2} -2x + 4) = 0\\[/tex]

x = 2

x =-2

x =1 +√3i

x =1 -√3i

x =-1 +√3i

x =-1 -√3i  

 

 

 

 

 

 

 

Answer Link

Otras preguntas

A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumptio
13/20-3/10 estimate: closer to 1 or 0?
Which decimal is equivalent to 3/8?
convert to vertex form. y=2x^2+14x-4
15 times what equals 45
The areas of two circles are 36(pi) and 64(pi). What is hte ratio of the diameters? of the circumferences?
it is asking me to insert parentasies
A ball is thrown into the air with an upward velocity of 44 ft/s. Its height h in feet after t seconds is given by the function [tex]h=-16t ^{2} +44t+9[/tex]. W
In Latin America, what did land reform accomplish?
What is the value of 6P6?  A.1  B.36  C.720  D.46,656