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

what equation is equivalent to y=3(x 5)(x-2)
A descriptive essay on betrayal
Lab: Making a Cladogram For this activity, you and your partner will build a cladogram from a set of organisms. Once completed, the cladogram will be presented
Tú siempre [blank]!la niña favorita de la familia.
2. Quadrilateral ABCD is a rhombus. Mark the diagram with information you know about a rhombus. *Each question is a new problem
Can someone please help me with problem #1 of the Rational Roots Theorem and Factoring/Solving worksheet? Please show your work.Directions: State the factors of
A reaction yields 8.77 g of a product. What is the percent yield if the theoretical yield is 14.80 g?
The value of X is a word tell me
what is a iud????????????????
managing the space ahead and controlling your speed will________ your vehicle's furl efficiently. impove, decrease, maintain​