Question

2^x+2^-x=2 va rog , ma poate ajuta cineva

Answer 1

$2^{x} + 2^{-x} =2 \\ 2^{x}+ \frac{1}{2^{x}} =2 \\ 2^{2x}+1=2*2^{x} \\ 2^{2x}-2*2^{x}+1=0 \\ 2^{x}=t \\ t^{2} -2t+1=0$
Δ=4-4=0
$t_{1,2} =2:2=1 \\ 2^{x}=1 \\ x=0$