2x+21-x=3 হলে, x = কত?

2^x+2^1-x=3 হলে, x = কত?

A (1,2)

B (0,2)

C (1,3)

D (0,1)

Solution

Correct Answer: Option D

2^x+2^1-x=3

=> 2^x+2¹ /2^x=3

=> a+ 2/a = 3 [ 2^x = a ধরে ]

=> a^2 + 2 = 3a

=> a^2 - 3a + 2 = 0

=> a^2 - 2a - a + 2 = 0

=> a(a-2) -1 (a-2) = 0

=> (a-2) (a-1) = 0

এখন,

a - 2 = 0 এবং a - 1 = 0

a = 2 এবং a = 1

=> 2^x = 2 এবং 2^x = 1

=> 2^x = 2^1 এবং 2^x = 2^0

=> x = 1 এবং x = 0

x = (0, 1)