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

33 points!!! The line contains the point (8,2) and is parallel to a line with a slope of -2/3 The equation of the line is
The penalty for disobedience of God's law was... 1. temptation 2. death 3. trouble
graph this plz:) picture down below
Expand and simplify the expression(p-4q) (3p+q) - (2p+3q) (4p-7q)​
(2y-3)=29 What are the y values
Write an algebraic expression that models the word phrase. the product of 2 and the sum of a number x and 16
Sarah is 9 years old. Sarah's grandfather is 90 year old. Sarah's grandfather is how many times as old as Sarah?
What is the number in scientific notation? ​0.0765 Enter your answer in the box.
What are your ideas about writing? What is good writing? What makes a good writer? What do you think your strengths are as a writer, and what areas you need to
which of the following set prefixes are in decreasing order​