$$\left. \begin{array} { l } { 2 x ^ { 2 } + ( m x - 1 ) ^ { 2 } = 3 } \\ { 3 m ^ { 2 } + 4 = 0 , 2 x ^ { 2 } + ( m x - 1 ) ^ { 2 } = 3 } \end{array} \right.$$
$\left\{\begin{matrix}x=\sqrt{3}i\approx 1.732050808i\text{, }&m=\frac{2\sqrt{3}i}{3}\\x=-\sqrt{3}i\approx -0-1.732050808i\text{, }&m=-\frac{2\sqrt{3}i}{3}\end{matrix}\right.$
