elishaakyaw elishaakyaw
  • 01-09-2020
  • Mathematics
contestada

Solve (2^2x+1)-9(2^x)+4=0​

Respuesta :

Аноним Аноним
  • 01-09-2020
  • Answer:

x₁ = - 1

x₂ = 2

  • Step-by-step explanation:

2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0

2²ˣₓ2 - 9ₓ2ˣ + 4 = 0

2ˣ = n

2n² - 9n + 4 = 0

2n² - n - 8n + 4 = 0

n(2n - 1) - 4(2n - 1) = 0

(2n - 1)(n -4) = 0

2n - 1 = 0 => n₁ = 1/2

n - 4 = 0 => n₂ = 4

2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1

2ˣ = 4 => 2ˣ = 2² => x₂ = 2

Answer Link

Otras preguntas

My Sony flatscreen tv's remote won't work. I can't turn up the volume or use buttons other than turning it on. I can't open the menu either.
What effect did the Iconoclast controversy have? (1 point) a) The use of icons was gradually forgotten. b) Religious opponents overthrew the emperor. c) The pop
What is the meaning of antimonopologeographicationalism?
Maryland was the first _____ Colony poprietary Chartered Royal
The period from 1833-1901 in Europe history is called
The statement which describes a physical property of the element oxygen is ​ 1. ​oxygen is needed for the rusting of iron 2. oxygen supports the burning of pap
What is the catalyst defined as
Molar mass is measured in units of a. amu. b. milliliters. c. milligrams. d. grams/mole.
Your taxable income is your income after a. you have paid all your taxes. b. you have subtracted certain permitted amounts. c. you have listed your exemption
The study of how people think and behave