0, \\ x^2-6x+4=0, D_1=5, \\ x_1=3-\sqrt{5}, x_2=3+\sqrt{5}, \\ x^2-6x+4=(x+\sqrt{5})(x-\sqrt{5}); \\ x-1=0, x=1; \\ \frac{(x+\sqrt{5})(x-\sqrt{5})}{x-1}>0, \\ (x+\sqrt{5})(x-1)(x-\sqrt{5})>0, \\ x\in(-\sqrt{5};1)\cup(\sqrt{5};+\infty)." alt=" \frac{x^{2}-6x+4}{x-1}>0, \\ x^2-6x+4=0, D_1=5, \\ x_1=3-\sqrt{5}, x_2=3+\sqrt{5}, \\ x^2-6x+4=(x+\sqrt{5})(x-\sqrt{5}); \\ x-1=0, x=1; \\ \frac{(x+\sqrt{5})(x-\sqrt{5})}{x-1}>0, \\ (x+\sqrt{5})(x-1)(x-\sqrt{5})>0, \\ x\in(-\sqrt{5};1)\cup(\sqrt{5};+\infty)." align="absmiddle" class="latex-formula">
0, \\
3-x^2=0, \\
x^2=3, \\
x_1=-\sqrt{3}, x_2=\sqrt{3}, \\
3-x^2=-(x+\sqrt{3})(x-\sqrt{3}), \\
3x^2-4x-1=0, \\
D_1=7, \\
x_1=\frac{2-\sqrt{7}}{3} , x_2=\frac{2+\sqrt{7}}{3}, \\
3x^2-4x-1=3(x-\frac{2-\sqrt{7}}{3})(x-\frac{2+\sqrt{7}}{3}); \\
\frac{-(x+\sqrt{3})(x-\sqrt{3})}{3(x-\frac{2-\sqrt{7}}{3})(x-\frac{2+\sqrt{7}}{3})}>0, \\
(x+\sqrt{3})(x-\frac{2-\sqrt{7}}{3})(x-\frac{2+\sqrt{7}}{3})(x-\sqrt{3})<0, \\
" alt=" \frac{3- x^{2}}{3 x^{2}-4x-1}>0, \\
3-x^2=0, \\
x^2=3, \\
x_1=-\sqrt{3}, x_2=\sqrt{3}, \\
3-x^2=-(x+\sqrt{3})(x-\sqrt{3}), \\
3x^2-4x-1=0, \\
D_1=7, \\
x_1=\frac{2-\sqrt{7}}{3} , x_2=\frac{2+\sqrt{7}}{3}, \\
3x^2-4x-1=3(x-\frac{2-\sqrt{7}}{3})(x-\frac{2+\sqrt{7}}{3}); \\
\frac{-(x+\sqrt{3})(x-\sqrt{3})}{3(x-\frac{2-\sqrt{7}}{3})(x-\frac{2+\sqrt{7}}{3})}>0, \\
(x+\sqrt{3})(x-\frac{2-\sqrt{7}}{3})(x-\frac{2+\sqrt{7}}{3})(x-\sqrt{3})<0, \\
" align="absmiddle" class="latex-formula">
