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

consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-intercept: ( , 0)
What is the difference between 126 and -27
Fill in the table using this function rule. y=2x -4 x y -4 ? -2 ? 0 ? 2 ?
Parking in passing require coordination of many different driving skills combined with a continuous blank come over here now before i hit you right upside your
An economic incentive is best described as something that
which expression represents the amount of money john has collected? john collects $5 for club dues from each member.
The angle measure in degrees that corresponds to 7/10ths of a circle is what? a. 63 b.126 c. 252 d. 257/ also, Its corresponding measurement in radians is 7 pie
Alkaline earth metals do not react with oxygen. true or false
what is the coefficient of the x9y-term in the binomial expansion of (2y 4x3)4?
use your calculator to find the equation of the regression line. write the equation in y=ax b form. do not use any spaces. round a and b to the nearest tenth. w