[tex]\displaystyle\\
\sqrt{2x^2+1}=1~~~\text{(Ridicam la puterea a 2-a.)}\\\\
\Big(\sqrt{2x^2+1}\Big)^2=\Big(1\Big)^2\\\\
2x^2+1=1\\\\
2x^2+1-1=0\\\\
2x^2=0\\\\
x^2 =\frac{0}{2}\\\\
x^2=0\\\\
x=\pm\sqrt{0}=\pm~0\\\\
\boxed{x_1=0}\\\\
\boxed {x_2=0}\\\\
\text{In fisierul atasat gasesti graficul functiei atasate acestei ecuatii:}\\\\
f(x)=\sqrt{2x^2+1}-1\\\\
\text{din care se vede ca f(x) = 0 are doua solutii egale (confundate)}\\
\text{deoarece graficul este tangent la axa Ox in punctul} ~~~x=0.[/tex]
