Bună! ⭐
__________
[tex]\sqrt{2} (x+1)=2+\sqrt{8} :2 <=>[/tex]
[tex]<=> x\sqrt{2} +\sqrt{2} =2+2\sqrt{2} :2 <=>[/tex]
[tex]<=> x\sqrt{2} +\sqrt{2} =2+\sqrt{2} <=>[/tex]
[tex]<=> x\sqrt{2} =2 => x=^{\sqrt{2}) } \frac{2}{\sqrt{2} } => x=\frac{2\sqrt{2} }{2} => x=\sqrt{2}[/tex]
x ∈ R