Question

Rezolvati in R ecuatia 2^{2x+1}-5*2^{x} +2=0

Answer 1

[tex] 2^{2x+1} -5*2^x+2=0 [/tex]

$2^{2x} *2-5*2^x+2=0$

$(2^x)^2*2-5*2^5+2=0$

$t^{2} *2-5t+2=0$

$t=2$

$t=1/2$

$2^x=2$

$2^x=1/2$

$x=1$

$x=-1$