Thay \(x=0;y=-\sqrt{2}\Leftrightarrow-\sqrt{2}=1\left(loại\right)\)
Thay \(x=\sqrt{2};y=\sqrt{2}+1\Leftrightarrow\sqrt{2}-2+1=\sqrt{2}+1\left(loại\right)\)
Thay \(x=1-\sqrt{2};y=3-2\sqrt{2}\Leftrightarrow\left(1-\sqrt{2}\right)^2+1=4-2\sqrt{2}=3-2\sqrt{2}\left(loại\right)\)
Thay \(x=1+\sqrt{2};y=0\Leftrightarrow\left(1-\sqrt{2}\right)\left(1+\sqrt{2}\right)+1=1-2+1=0\left(đúng\right)\)
Chọn D