Solve for k (complex solution)
k=-x+\sqrt{x+4}+2
Solve for x (complex solution)
\left\{\begin{matrix}x=-k+\frac{\sqrt{25-4k}}{2}+\frac{5}{2}\text{, }&arg(\frac{-\sqrt{25-4k}-1}{2})\geq \pi \\x=-k-\frac{\sqrt{25-4k}}{2}+\frac{5}{2}\text{, }&k=6\text{ or }arg(\frac{\sqrt{25-4k}-1}{2})\geq \pi \end{matrix}\right.
Solve for k
k=-x+\sqrt{x+4}+2
x\geq -4
Solve for x
\left\{\begin{matrix}x=-k+\frac{\sqrt{25-4k}}{2}+\frac{5}{2}\text{, }&k\leq \frac{25}{4}\\x=-k-\frac{\sqrt{25-4k}}{2}+\frac{5}{2}\text{, }&k\geq 6\text{ and }k\leq \frac{25}{4}\end{matrix}\right.
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