alihasan9655 alihasan9655
  • 18-08-2021
  • Mathematics
contestada

How would I find all real solutions in x^4/3 -10^2/3 +21= 0

Respuesta :

selmanmusaoglu selmanmusaoglu
  • 18-08-2021

Answer:

Step-by-step explanation:

This equation looks complicated.We have to make it easier

let's say x^2/3 = t  and  x^4/3 = t^2

     

      t^2-10t+21=0   [ we can factorize this equation as a (t-3)(t-7) ]

     

      (t-3)(t-7)=0  [ that means , t can be 3 or 7 ]

But don't forget we have to find x not t so,

   t=x^2/3=3     ∛ x^2 = 3       x^2 = 9    x=3 or x= -3

  t=x^2/3=7      ∛x^2 = 7        x^2 = 343    x ~18.5  or x ~ -18.5

Answer Link

Otras preguntas

True or False: Obesity is associated with an increased risk of Diabetes.
Which of the following statements BEST describes an artifact? A. a nondocumentary source such as a photograph, painting, tool, or weapon B. a personally doc
Write the standard equation for the ellipse with the given conic form. 4x 2 + y 2 - 16x + 2y + 13 = 0
I don’t understand this question
Find the measure of x. a. 160 b. 100 c. 120 d. 80
What country had the first sailor to circumnavigate the globe to avoid being caught for piracy?
What is the concentration of h+ ions in a 2.20 m solution of hno3?
List and describe the major sections contained in most state constitutions. (e.g., federalism, separation of powers, individual rights,etc.).
Answer asappppp please
Every time bernie does his chores, his mother gives him money. which type of reinforcement is bernie receiving?