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

In 1940 What was Germany’s initial strategy for conquering Britain?
How do three planes intersect at one point?
All of the following are true about Latinos’ experiences in World War II EXCEPT (A) unlike African Americans, Latinos fought in integrated units (B) Latino you
A box is lowered using a rope. If the acceleration of the box, is 2.5 m/s2 (downward) and the tension in the rope is 31 N, what is the mass of the box (in kg)?
Is 0.127 a rational number
how do you solve 4a/b divided by 2ac/b
What was Italy’s primary role in the WWII?a. It helped Germany in accomplishing its main objectivesb. It was helpful to Britainc. It caused problems for Japand.
Which of the following did NOT grow or increase as a result of early farming? villages trade life spans cities
What is an equivalent fraction for 20/12
Natalie picked 135 berries in 15 minutes. If she continues picking at that rate, how long will it take her to pick 486 berries?