\[x^{4} - x^{2} - 12 = 0\]
\[x^{2} = y \geq 0:\]
\[y^{2} - y - 12 = 0\]
\[y_{1} + y_{2} = 1;y_{1} \cdot y_{2} = - 12\]
\[y_{1} = - 3 < 0;\ \ y_{2} = 4.\]
\[x^{2} = 4\]
\[x = \pm 2.\]
\[Ответ:x = \pm 2.\]