desireeoliver216 desireeoliver216
  • 11-01-2022
  • Mathematics
contestada

Solve x^4 - 3x^2 +2 = 0 using substitution.

U=

x
x^2
3x^2
x^4

Answer- x^2
(on edge)

Respuesta :

jimrgrant1 jimrgrant1
  • 11-01-2022

Answer:

x = ± 1 , x = ± [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Let u = x² , then

[tex]x^{4}[/tex] - 3x² + 2 = 0 , can be expressed as

u² - 3u + 2 = 0 ← in standard form

(u - 1)(u - 2) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 1 = 0 ⇒ u = 1

u - 2 = 0 ⇒ u = 2

Change the variable u back to x

x² = 1 ( take square root of both sides )

x = ± 1

or

x² = 2 ( take square root of both sides )

x = ± [tex]\sqrt{2}[/tex]

Answer Link
23jorgejuarezcuevas 23jorgejuarezcuevas
  • 05-05-2022

Answer:

its 3^x

Step-by-step explanation:

just did it

Answer Link

Otras preguntas

What does que te gusta hacer mean?
Find a real number between 7 3/5 and 7 4/5
please help Most U.S. citizens are a. non-pledged b. naturalized c. native d. noncitizens it is not b thank u
how do you say "the golden one" in spanish
a sentence with postindustrial
What is 42/24 as a mixed number in lowest terms?
How did the gold rush change the cultural composition of California?
Which are acceptable reasons for studying history?    Choose all answers that are correct.a. It teaches us to accept religious doctrines.b. It provides instruct
the perimeter of a regular pentagon is 41.5 cm. Write and solve an equation to determine the length of each side of the pentagon?
A car is moving at an average speed of 202/ 5 km/hr. How much distance will it cover in 15/2 hours?
good job