Question

срочно________________________________________________________

Answer 1

$5*(\sqrt{2}-1)^{x}+(\sqrt{2}+1)^{x}-2=0\\\\5(\sqrt{2}-1)^{x}+\frac{1}{(\sqrt{2}-1)^{x}}-2=0\\\\(\sqrt{2}-1)^{x}=m,m>0\\\\5m+\frac{1}{m}-2=0\\\\5m^{2}-2m+1=0,m\neq 0\\\\D=(-2)^{2}-4*5*1=4-20=-16<0$

решений нет