Question

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

Answer 1

Răspuns:

Explicație pas cu pas:

notam 2^x=t       2^(2x+1)-3×2^x+1=0    2t²-3t+1=0    

t1=1         2^x=2^0        x1=0

t2=1/2=2^(-1)                x2=-1

Answer 2

2^(2x+1)-3×2^x+1=0

2^2x×2-3×2^x+1=0

(2^x)²×2-3^2x+1=0

t²×2-3t+1=0

t¹=1

t²=1/2

2^x=1

2^x=1/2

x¹=-1

x²=0

S={-1,0}