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

The height of a television screen is 75% of its width. The screen is 20 inches wide. What is the area of the television screen. By percent, how does this area
What was the cash crop that helped jamestown survive and prosper?
This is secured to a guardrail’s vertical posts and must be installed when walls aren’t at least 21 inches high and withstand at least 150 lbs. of force.
Neither dry soil nor pure water conducts electricity. But wet soil will conduct electricity. Explain why this happens?
Plz help me in this I don’t know how to solve it
7 + what can = 91??????
Two angles in a triangle add up to 98 degrees . What is the size of the third angle ?
Find measure of angle D
what is the definition of Nat Turner
where would one most likely find believers in the Druze faith