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

Use identities to find the exact value for each requested function.
what are the five Northern Hemisphere
Therapy that depends on identifying and changing distorted thinking, and unrealistic beliefs is
The _______ was labeled using the radioisotope 32p in the hershey-chase experiments.
What are the answers 2-10
HELP ME PLEASE!! i need help, an explanation of how to do this because i have more like these and i want to do them on my own.
The development of commercial radio broadcasts along with a wider circulation of newspapers and magazines in the 1920s really helped to influence... shortages o
Which character from "Damon and Pythias" is dynamic?DamonPythiasthe robbersthe king
If a bank pays 62 cents in non-interest expense per dollar of income, its _______ is equal to 0.62
3=m(-2)-4 What is the value of m?