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

These type of power plants are virtually pollution free
which regions were largely controlled by imperial powers during the 19th century
When alcohol is consumed the heart function increased and the ability of the heart to contract and move blood is increased
Ray cupple bought a basic car costing 26,500, with options costing 725.00. There is a 6% sales rax in his state and a combined 50.00 license and registration fe
7/9 divided by 1 1/9
7. Before beginning an exercise program, a person should always
Construction crews sometimes use this reaction for welding underwater structures: Fe2O3 + 2Al → Al2O3 + 2Fe How many moles of iron (Fe) would be produced if 2.5
You and two friends visit a pizza shop. There are 14 toppings. 7 toppings are meat and the rest are vegetable. Each of you orders a different topping (no repeat
14. A hygrometer measures A. air pressure. B. wind speed. C. temperature. D. humidity.
Europeans settled the North American continent gradually. First, colonists created settlements along the East Coast. Once these were well established, people be