Question

Rezolvati in R ecuatia:
2^(2x+1)-3×2^x+1=0

Answer 1

2^(2x)x2^1-3x2^x+1=0

Not 2^x=t

2xt^2-3xt+1=0

D = 9-8=1

t1 = (3+1)/4 = 1 -> 2^x = 1 -> x=0

t2 = (3-1)4 = 1/2 -> 2^x = 1/2 -> x= -1