Solve {l}{m^2=1/2m-3/4}{n={(m^3+m^frac{3{4}})}{(m^3-12)}}{text{Solvefor}otext{where}}{o=n}

$$\left. \begin{array} { l } { m ^ {2} = \frac{1}{2} m - \frac{3}{4} }\\ { n = {(m ^ {3} + m ^ {\frac{3}{4}})} {(m ^ {3} - 12)} }\\ { \text{Solve for } o \text{ where} } \\ { o = n } \end{array} \right.$$

Solve for m, n, o

$$m=\frac{-\sqrt{11}i+1}{4}\approx 0.25-0.829156198i\text{, }n=\frac{\sqrt[4]{2}\left(-4+\sqrt{11}i\right)^{\frac{5}{4}}}{16}-6\sqrt[4]{-8+2\sqrt{11}i}-\frac{13\sqrt{11}i}{8}+\frac{389}{64}\approx -3.318615105-11.53491666i\text{, }o=\frac{\sqrt[4]{2}\left(-4+\sqrt{11}i\right)^{\frac{5}{4}}}{16}-6\sqrt[4]{-8+2\sqrt{11}i}-\frac{13\sqrt{11}i}{8}+\frac{389}{64}\approx -3.318615105-11.53491666i$$

$$m=\frac{1+\sqrt{11}i}{4}\approx 0.25+0.829156198i\text{, }n=\frac{\sqrt[4]{2}\left(-\sqrt{11}i-4\right)^{\frac{5}{4}}}{16}-6\sqrt[4]{-2\sqrt{11}i-8}+\frac{13\sqrt{11}i}{8}+\frac{389}{64}\approx -0.067276375-4.007224821i\text{, }o=\frac{\sqrt[4]{2}\left(-\sqrt{11}i-4\right)^{\frac{5}{4}}}{16}-6\sqrt[4]{-2\sqrt{11}i-8}+\frac{13\sqrt{11}i}{8}+\frac{389}{64}\approx -0.067276375-4.007224821i$$