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

5 A photographer runs away from an angry rhino toward the safety of her Jeep What will happen? (Speeds and distances are shown below the image.) O O o - Photogr
During unusually cold weather, the temperature in Miami Beach was 10°C. This was 12 degrees more than Tallahassee. What is the temperature in Tallahassee?
write the equation in fully simplified slope intercept form​
What has to be broken before you can use it? please answer this riddle
this figure has rotational symmetry. what is true about the figure?
Various systems in humans are involved in information processing. Which of the following correctly orders four of these systems from most to least foundational?
PLEASE HELP URGENT I DONT GET THE QUESTION :(((((Describe the single transformation that has the same effect as reflecting across the line x= 1 followed by a re
en pendulum move downward ……. energy change into …… energ​
In this story, draw one line under each common noun and two lines under each proper noun. There are 41 common nouns and 12 proper nouns. Before the founding of
please help i need done before 11:59!