2^x + 2^(1-x) = 3 হলে x এর মান কত?

2^x + 2^(1-x) = 3
or, 2^x + 2/2^x = 3
or, ( 2^x. 2^x + 2)/2^x = 3
or, (a² + 2)/a = 3 [2^x = a ধরে]
or, a² – 3a + 2 = 0
or, a² – 2a – a + 2 = 0
or, (a – 2) (a – 1) = 0
or, a = 2
or, 2^x = 2
or, x = 1
আবার,
a – 1 = 0
or, a = 1
or, 2^x = 1
or, 2^x = 2⁰
or, x = 0
x = (0, 1)