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

Read this excerpt from "The Bells” by Edgar Allan Poe. For every sound that floats From the rust within their throats Is a groan. Which statement best describes
Why are fragments bound to be fractional parts?
If f (x)=-3x+3, then f^-1(x)=
Ria is an Indian student who was admitted to a US University. Her annual tuition is $42,000. She has to pay her tuition fees in US dollars. She needs to calcula
Please help me somebody!?!?!?!??
Not long after gloria found out she was pregnant, she began having pain. when she went to her doctor, she was told that the zygote had implanted in her fallopia
write an equation in slope-intercept form with slope 3 and y-intercept 5
What event in 1959 changed the relationship between Cuba and the United States
Why are Frederick the Great of Prussia and Catherine the Great of Russia considered "enlightened despots"?
Was is Johannes gutenberg famous for