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

Find the coordinates of the image of point R(3, –5) rotated 180° about the origin.
What happened as a result of economic problems in 1874?
A crane does 9,500 J of work to lift a crate straight up using a force of 125 N. How high does the crane lift the crate?
what was Shakespeare's initial motive for becoming an actor
Which statements about Plains Indian clothing are true? Choose all answers that are correct. A. It was made of cloth woven from sheep's wool or cloth acquired
A higher GDP per capita is synonymous with which of the following? a) high rates of inflation b) high standatrds of living c) very low unemployment
How do anthophytes attract animal pollinators?
Read the passage about the Iroquois. Around 1570, the Iroquois made an oral contract—an agreement made through spoken words. Originally, it was memorized and re
"A painter needs to cover a triangular region 62 meters by 66 meters by 72 meters. A can of paint covers 70 square meters. How many cans will be needed?
can't decide between softball and soccer as a sport any opinions?