Solve (x-11)^2+(y-7)^2+(z-2)^2=70

$$( x - 11 ) ^ { 2 } + ( y - 7 ) ^ { 2 } + ( z - 2 ) ^ { 2 } = 70$$

Solve for x (complex solution)

$$x=-\sqrt{17+4z-z^{2}+14y-y^{2}}+11$$

$$x=\sqrt{17+4z-z^{2}+14y-y^{2}}+11$$

Solve for y (complex solution)

$$y=-\sqrt{-x^{2}+22x-z^{2}+4z-55}+7$$

$$y=\sqrt{-x^{2}+22x-z^{2}+4z-55}+7$$

Solve for x

$$\left\{\begin{matrix}x=\sqrt{66+4z-z^{2}}+11\text{; }x=-\sqrt{66+4z-z^{2}}+11\text{, }&z\geq 2-\sqrt{70}\text{ and }z\leq \sqrt{70}+2\text{ and }y=7\\x=-\sqrt{17+4z-z^{2}+14y-y^{2}}+11\text{; }x=\sqrt{17+4z-z^{2}+14y-y^{2}}+11\text{, }&y\leq \sqrt{66+4z-z^{2}}+7\text{ and }y\geq -\sqrt{66+4z-z^{2}}+7\text{ and }z>2-\sqrt{70}\text{ and }z<\sqrt{70}+2\end{matrix}\right.$$

Solve for y

$$\left\{\begin{matrix}y=\sqrt{66+4z-z^{2}}+7\text{; }y=-\sqrt{66+4z-z^{2}}+7\text{, }&z\geq 2-\sqrt{70}\text{ and }z\leq \sqrt{70}+2\text{ and }x=11\\y=-\sqrt{-x^{2}+22x-z^{2}+4z-55}+7\text{; }y=\sqrt{-x^{2}+22x-z^{2}+4z-55}+7\text{, }&x\leq \sqrt{66+4z-z^{2}}+11\text{ and }x\geq -\sqrt{66+4z-z^{2}}+11\text{ and }z>2-\sqrt{70}\text{ and }z<\sqrt{70}+2\end{matrix}\right.$$