Question

$$\left. \begin{array} { l } { k } \\ { x ^ { 2 } + k x + 64 = 0 x ^ { 2 } - 8 x + k = 0 } \end{array} \right.$$

Solve for x (complex solution)

$x=\frac{\sqrt{l^{2}+20l-192}}{2}-\frac{l}{2}-4$
$x=-\frac{\sqrt{l^{2}+20l-192}}{2}-\frac{l}{2}-4\text{, }k=l$

Solve for x

$x=\frac{\sqrt{k^{2}+20k-192}}{2}-\frac{k}{2}-4$
$x=-\frac{\sqrt{k^{2}+20k-192}}{2}-\frac{k}{2}-4\text{, }k=l\text{ and }\left(l\geq 2\sqrt{73}-10\text{ or }l\leq -2\sqrt{73}-10\right)$