[tex] \sqrt{(x- \sqrt{2}) ^{2} }= 2\sqrt{50} \ \textless \ =\ \textgreater \ |x- \sqrt{2}|= 10 \sqrt{2} =\ \textgreater \ \\ =\ \textgreater \ x- \sqrt{2}=10 \sqrt{2}=\ \textgreater \ x=11 \sqrt{2} \\ SAU \\ =\ \textgreater \ x- \sqrt{2} =- 10\sqrt{2}=\ \textgreater \ x=-9 \sqrt{2} [/tex]
Solutia ecuatie este x∈{11√2 ; -9√2}.
