Решете 1/x^2+(k-1)x-2k^2-2k=x/x^2-4k^2

$$\frac { 1 } { x ^ { 2 } + ( k - 1 ) x - 2 k ^ { 2 } - 2 k } = \frac { x } { x ^ { 2 } - 4 k ^ { 2 } }$$

Реши за k (complex solution)

$$\left\{\begin{matrix}k=x\text{, }&x\neq 0\\k\in \mathrm{C}\setminus 1,-1\text{, }&x=2\end{matrix}\right,$$

Реши за x (complex solution)

$$\left\{\begin{matrix}x=2\text{, }&k\neq -1\text{ and }k\neq 1\\x=k\text{, }&k\neq 0\end{matrix}\right,$$

Реши за k

$$\left\{\begin{matrix}k=x\text{, }&x\neq 0\\k\in \mathrm{R}\setminus 1,-1\text{, }&x=2\end{matrix}\right,$$

Реши за x

$$\left\{\begin{matrix}x=2\text{, }&|k|\neq 1\\x=k\text{, }&k\neq 0\end{matrix}\right,$$