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

what other areas beside egypt did the new kingdom pharoahs conquer
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
what other areas beside egypt did the new kingdom pharoahs conquer
write words to match the expression. 24- ( 6+3)
what other areas beside egypt did the new kingdom pharoahs conquer
which city was located nearest the nile river delta
write words to match the expression. 24- ( 6+3)
Which two numbers have a difference of 5 and a product of 3.36???