broke8714 broke8714
  • 25-09-2017
  • Mathematics
contestada

Find three solutions of the equation (x^2-9)(x^3-8)=0

Respuesta :

Allysia123
Allysia123 Allysia123
  • 27-09-2017
(x^2-9)(x^3-8)=0

as you can see that (x^2-9) is in the form of a^2 - b^2 which equals (a+b)(a-b)

x^2 - 9
= (x)^2 -(3)^2
= (x+3)(x-3)


now, the equation becomes
(x+3)(x-3)(x^3-8)=0

(x+3) =0
x = -3


(x-3) = 0
x = 3

x^3 -8 = 0
x^3 = 8
x = cube rt. 8
= 2

so, the three solutions are -3, 3 and 2.
Answer Link

Otras preguntas

who is the president ​
what is the other solution??
Which religious group founded the first anti slavery society in the United States
Graph the function defined by f(x)=|-x+8|
Why was the 2000 presidential election important?
In a group of 21 students, 8 students take Art courses, 7 students take Music courses. Two students take both courses. A student is chosen randomly from this gr
If I was born on January 28,2004 what date will I become 15 and 1/2
given the system of linear x+4x=11 -5+y=2x
Bill Clinton explains the difficulties that America faces in order to convince the listener of what?
Please use AT LEAST 3 complete sentences. What is your personality and how do you think it affects your ability to communicate with others?