حل y^2=sin(log_{10}({1/x^2}))+x^2

$${ y }^{ 2 } = \sin ( \log_{ 10 }({ \frac{ 1 }{ { x }^{ 2 } } }) ) + { x }^{ 2 }$$

حل مسائل y (complex solution)

$$y=-\sqrt{\sin(\log(\frac{1}{x^{2}}))+x^{2}}$$

$$y=\sqrt{\sin(\log(\frac{1}{x^{2}}))+x^{2}}\text{, }x\neq 0$$

حل مسائل y

$$y=\sqrt{-\sin(\log(x^{2}))+x^{2}}$$

$$y=-\sqrt{-\sin(\log(x^{2}))+x^{2}}\text{, }x\neq 0\text{ and }-\sin(\log(x^{2}))+x^{2}\geq 0$$