Решете y=3x/sqrt{x^2-9}

$$y = \frac { 3 x } { \sqrt { x ^ { 2 } - 9 } }$$

Решаване за x (complex solution)

$$\left\{\begin{matrix}x=3\left(y^{2}-9\right)^{-\frac{1}{2}}y\text{, }&y\neq -3\text{ and }y\neq 3\\x=-3\left(y^{2}-9\right)^{-\frac{1}{2}}y\text{, }&y\neq -3\text{ and }y\neq 3\text{ and }|arg(-\sqrt{\frac{y^{2}}{y^{2}-9}-1}y)-arg(\left(y^{2}-9\right)^{-\frac{1}{2}}y)|<\pi \end{matrix}\right,$$

Решаване за y (complex solution)

$$y=3\left(x^{2}-9\right)^{-\frac{1}{2}}x$$

$$x\neq -3\text{ and }x\neq 3$$

Решаване за x

$$x=\frac{3y}{\sqrt{y^{2}-9}}$$

$$|y|>3$$

Решаване за y

$$y=\frac{3x}{\sqrt{x^{2}-9}}$$

$$|x|>3$$