حل y=x^2+1/2-x^2

$$y= \frac{ { x }^{ 2 } +1 }{ 2- { x }^{ 2 } }$$

حل مسائل x (complex solution)

$$x=-i\left(y+1\right)^{-\frac{1}{2}}\sqrt{1-2y}$$

$$x=i\left(y+1\right)^{-\frac{1}{2}}\sqrt{1-2y}\text{, }y\neq -1$$

حل مسائل y (complex solution)

$$y=\frac{x^{2}+1}{2-x^{2}}$$

$$x\neq -\sqrt{2}\text{ and }x\neq \sqrt{2}$$

حل مسائل x

$$x=\sqrt{\frac{2y-1}{y+1}}$$

$$x=-\sqrt{\frac{2y-1}{y+1}}\text{, }y\geq \frac{1}{2}\text{ or }y<-1$$

حل مسائل y

$$y=\frac{x^{2}+1}{2-x^{2}}$$

$$|x|\neq \sqrt{2}$$