hoho111 hoho111
  • 02-11-2018
  • Mathematics
contestada

what are the solutions of the equation x^6-9x^3+8= 0 use u substitution to solve

Respuesta :

tramserran
tramserran tramserran
  • 02-11-2018

Answer: x = {1, 2}

Step-by-step explanation:

x⁶ - 9x³ + 8 = 0

Let u = x³  

⇒ (x³)² - 9(x³)¹ + 8(x³)⁰ = 0

⇒ u² - 9u + 8 = 0

⇒ (u - 1)(u - 8) = 0

⇒ u = 1 or u = 8

Replace u with x³

x³ = 1     or   x³ = 8

Take the cubed root of each side

x = 1     or     x = 2

 

Answer Link

Otras preguntas

Write an equation for the line whose slope is 7/2 and which contains the point (-12,-9)
They have watered the street it’s shines in the glare of lamps cold white lamps and lies like a slow moving river
The image below shows an example of a wildlife corridor. Which of the following does this structure help prevent?A. habitat fragmentationB. habitat lossC. habit
the international space station (iss) became a permanent research center in space. how was this an example of globalization?
When thinking about your self-awareness and what kind of personality you have, what is a trait you should reflect on?
Plz help, I promise I will give brainliest
Winnie wrote the following riddle.I am a number between 60 and 100.My ones digit is two less than my tens digit.I am a prime number.
One of the reasons the Roman Republic became the Roman Empire was because: A)the territory became too large for the Republic to control. B)there was a growin
solve this system by using substituion x+6y=-13. 7×-6y=5
Which injury can be treated with the RICE procedure? A.) Sprain B.) Break C.) Burn D.) Fracture