Решите уравнение: x^4-6x^2+5=0.

\[x^{4} - 6x^{2} + 5 = 0\]

\[t = x^{2};\ \ \ \ \ \ t \geq 0\]

\[t^{2} - 6t + 5 = 0\]

\[D = ( - 6)^{2} - 4 \cdot 1 \cdot 5 =\]

\[= 36 - 20 = 16;\ \ \ \ \sqrt{D} = 4.\]

\[t_{1} = \frac{6 + 4}{2} = \frac{10}{2} = 5;\ \ \ \ \]

\[\text{\ \ }t_{2} = \frac{6 - 4}{2} = \frac{2}{2} = 1\]

\[Ответ:\ \pm \sqrt{5};\ \pm 1.\]