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

Joan walked 23 1/4 miles in a week. Her sister walked 69 3/4 miles during the same week. How many times farther did Joan’s sister walk than Joan?
what is y=8/5(x-9)+16 in slope intercept form
A. How do the Earth’s physical factors influence population density? When population growth increases in an area, what is happening to the birth rate and age st
Which sentence is the clearest of alliteration
who wrote the book grocery packing at the supermarket
A way to write numbers by using the digits 0-9
In which part of a professional email should you try to be brief but highly descriptive a the blind carbon copy B the emoticon see the domaine DE the subject li
There are six soccer balls and 10 footballs write the ratio as a fraction in simplest form
WILL MARK BRAINLIEST IF THE ANSWER IS CORRECT Vinegar and baking soda react to form sodium acetate (NaC2H3O2), water (H2O), and carbon dioxide (CO2). ? NaC2H3O2
what does "people seldom see the halting and painful steps by which the most insignificant success is achieved" mean?