\[\boxed{\text{227.}\text{\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\]
\[x^{4} - 1 - 4x^{2} + 44 = 0\]
\[x^{4} - 4x^{2} + 43 = 0\]
\[Пусть\ x^{2} = t,\ \ x^{4} = t^{2},\]
\[\ \ t \geq 0,\ тогда:\]
\[t^{2} - 4t + 43 = 0\]
\[D = 4 - 43 < 0 \Longrightarrow корней\ нет.\]
\[Ответ:нет\ корней.\]
\[3x^{2}\left( x^{2} - 1 \right) - 10x^{2} + 4 = 0\]
\[3x^{4} - 3x^{2} - 10x^{2} + 4 = 0\]
\[3x^{4} - 13x^{2} + 4 = 0\]
\[Пусть\ x^{2} = t,\ \ x^{4} = t^{2},\]
\[\ \ t \geq 0,\ тогда:\]
\[3t^{2} - 13t + 4 = 0\]
\[D = 13^{2} - 4 \cdot 3 \cdot 4 =\]
\[= 169 - 48 = 121\]
\[t_{1,2} = \frac{13 \pm 11}{6},\ \ t_{1} = 4,\ \ \]
\[t_{2} = \frac{1}{3}.\]
\[\left\{ \begin{matrix} x² = 4 \\ x² = \frac{1}{3}\ \\ \end{matrix} \right.\ \Longrightarrow \left\{ \begin{matrix} x = \pm 2 \\ x = \pm \sqrt{\frac{1}{3}} \\ \end{matrix} \right.\ .\]
\[Ответ:x = \pm 2;\ \ x = \pm \sqrt{\frac{1}{3}}.\]