$$\left. \begin{array} { l } { 2 x ^ { 2 } + ( m x - 1 ) ^ { 2 } = 3 } \\ { 3 x ^ { 2 } + 4 = 0 x - 1 ) ^ { 2 } = 3 } \end{array} \right.$$
$x=\frac{\sqrt{15}i}{3}\approx 1.290994449i\text{, }m=\frac{-\sqrt{15}i-\sqrt{95}i}{5}\approx -2.723955538i$
$x=\frac{\sqrt{15}i}{3}\approx 1.290994449i\text{, }m=\frac{\sqrt{95}i-\sqrt{15}i}{5}\approx 1.1747622i$
$x=-\frac{\sqrt{15}i}{3}\approx -0-1.290994449i\text{, }m=\frac{\sqrt{15}i+\sqrt{95}i}{5}\approx 2.723955538i$
$x=-\frac{\sqrt{15}i}{3}\approx -0-1.290994449i\text{, }m=\frac{\sqrt{15}i-\sqrt{95}i}{5}\approx -1.1747622i$
