\left\{ \begin{array} { l } { m ^ { 2 } = 2 n + t } \\ { n ^ { 2 } = 2 m + t } \end{array} \right.
Solve for m, n, t (complex solution)
t=m\left(m-2\right)\text{, }m\in \mathrm{C}\text{, }n=\frac{m^{2}-t}{2}
t=m^{2}+2m+4\text{, }m\in \mathrm{C}\text{, }n=\frac{m^{2}-t}{2}
Solve for m, n, t
t=m^{2}+2m+4\text{, }m\in \mathrm{R}\text{, }n=\frac{m^{2}-t}{2}
t=m\left(m-2\right)\text{, }m\in \mathrm{R}\text{, }n=\frac{m^{2}-t}{2}
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