D=x/(x^2+y^2+z^2)^frac{2{2}} حل کریں

$$D = \frac { x } { ( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } ) ^ { \frac { 2 } { 2 } } }$$

D کے لئے حل کریں

$$D=\frac{x}{x^{2}+y^{2}+z^{2}}$$

$$z\neq 0\text{ or }y\neq 0\text{ or }x\neq 0$$

x کے لئے حل کریں

$$\left\{\begin{matrix}x=\frac{-\sqrt{1-4\left(Dz\right)^{2}-4\left(Dy\right)^{2}}+1}{2D}\text{, }&\left(D\neq 0\text{ and }y=0\text{ and }|D|\leq \frac{1}{2|z|}\text{ and }z\neq 0\right)\text{ or }\left(D\neq 0\text{ and }z\neq 0\text{ and }|D|\leq \frac{1}{2\sqrt{y^{2}+z^{2}}}\right)\text{ or }\left(D\neq 0\text{ and }y\neq 0\text{ and }|D|\leq \frac{1}{2\sqrt{y^{2}+z^{2}}}\right)\\x=\frac{\sqrt{1-4\left(Dz\right)^{2}-4\left(Dy\right)^{2}}+1}{2D}\text{, }&\left(D\neq 0\text{ and }|D|\leq \frac{1}{2\sqrt{y^{2}+z^{2}}}\right)\text{ or }\left(D\neq 0\text{ and }y=0\text{ and }|D|\leq \frac{1}{2|z|}\text{ and }z\neq 0\right)\text{ or }\left(y=0\text{ and }z=0\text{ and }D\neq 0\right)\\x=0\text{, }&\left(y\neq 0\text{ or }z\neq 0\right)\text{ and }D=0\end{matrix}\right.$$