t(x-y+1)(x^2+y^2-5)>0 పరిష్కరించండి

$$t ( x - y + 1 ) ( x ^ { 2 } + y ^ { 2 } - 5 ) > 0$$

xని పరిష్కరించండి

$$\left\{\begin{matrix}x\in \left(-\sqrt{5-y^{2}},\sqrt{5-y^{2}}\right)\text{, }&\left(y\geq 2\text{ and }y<\sqrt{5}\text{ and }t>0\right)\text{ or }\left(y\leq -1\text{ and }y>-\sqrt{5}\text{ and }t<0\right)\\x\in \left(y-1,\sqrt{5-y^{2}}\right)\text{, }&y>-1\text{ and }y<2\text{ and }t<0\text{ and }|y|<\sqrt{5}\\x\in \left(-\sqrt{5-y^{2}},y-1\right)\text{, }&\left(y>-1\text{ and }y<2\text{ and }t>0\text{ and }|y|<\sqrt{5}\right)\text{ or }\left(y<2\text{ and }y\geq 1\text{ and }t>0\right)\\x\in \left(\sqrt{5-y^{2}},y-1\right)\text{, }&y>2\text{ and }t<0\text{ and }y\leq \sqrt{5}\\x<y-1\text{, }&\left(|y|>\sqrt{5}\text{ and }t<0\right)\text{ or }\left(y\leq -1\text{ and }t<0\text{ and }y\geq -\sqrt{5}\right)\\x<-\sqrt{5-y^{2}}\text{, }&\left(y>1\text{ and }t<0\text{ and }y\leq \sqrt{5}\right)\text{ or }\left(y\geq 1\text{ and }y<\sqrt{5}\text{ and }t<0\right)\text{ or }\left(y>-1\text{ and }y<2\text{ and }|y|\leq \sqrt{5}\text{ and }t<0\right)\\x\in \left(y-1,-\sqrt{5-y^{2}}\right)\text{, }&y<-1\text{ and }t>0\text{ and }y\geq -\sqrt{5}\\x>y-1\text{, }&\left(t>0\text{ and }|y|>\sqrt{5}\right)\text{ or }\left(y\geq 2\text{ and }t>0\text{ and }y\leq \sqrt{5}\right)\\x>\sqrt{5-y^{2}}\text{, }&\left(y\leq 1\text{ and }y>-\sqrt{5}\text{ and }|y|\leq \sqrt{5}\text{ and }t>0\right)\text{ or }\left(y<1\text{ and }|y|\leq \sqrt{5}\text{ and }t>0\right)\text{ or }\left(y<-1\text{ and }t>0\text{ and }y\geq -\sqrt{5}\right)\text{ or }\left(y>-1\text{ and }y<2\text{ and }|y|\leq \sqrt{5}\text{ and }t>0\right)\end{matrix}\right.$$

yని పరిష్కరించండి

$$\left\{\begin{matrix}y\in \left(-\sqrt{5-x^{2}},\sqrt{5-x^{2}}\right)\text{, }&\left(x\leq -2\text{ and }x>-\sqrt{5}\text{ and }t>0\right)\text{ or }\left(x\geq 1\text{ and }x<\sqrt{5}\text{ and }t<0\right)\\y\in \left(-\sqrt{5-x^{2}},x+1\right)\text{, }&x>-2\text{ and }x<1\text{ and }t<0\text{ and }|x|<\sqrt{5}\\y\in \left(x+1,\sqrt{5-x^{2}}\right)\text{, }&\left(x>-2\text{ and }x<1\text{ and }t>0\text{ and }|x|<\sqrt{5}\right)\text{ or }\left(x>-2\text{ and }x\leq -1\text{ and }t>0\right)\\y\in \left(x+1,-\sqrt{5-x^{2}}\right)\text{, }&x<-2\text{ and }t<0\text{ and }x\geq -\sqrt{5}\\y>x+1\text{, }&\left(|x|>\sqrt{5}\text{ and }t<0\right)\text{ or }\left(x\geq 1\text{ and }t<0\text{ and }x\leq \sqrt{5}\right)\\y>\sqrt{5-x^{2}}\text{, }&\left(x<-1\text{ and }t<0\text{ and }x\geq -\sqrt{5}\right)\text{ or }\left(x\leq -1\text{ and }x>-\sqrt{5}\text{ and }t<0\right)\text{ or }\left(x>-2\text{ and }x<1\text{ and }|x|\leq \sqrt{5}\text{ and }t<0\right)\\y\in \left(\sqrt{5-x^{2}},x+1\right)\text{, }&x>1\text{ and }t>0\text{ and }x\leq \sqrt{5}\\y<x+1\text{, }&\left(t>0\text{ and }|x|>\sqrt{5}\right)\text{ or }\left(x\leq -2\text{ and }t>0\text{ and }x\geq -\sqrt{5}\right)\\y<-\sqrt{5-x^{2}}\text{, }&\left(x\geq -1\text{ and }x<\sqrt{5}\text{ and }|x|\leq \sqrt{5}\text{ and }t>0\right)\text{ or }\left(x>-1\text{ and }|x|\leq \sqrt{5}\text{ and }t>0\right)\text{ or }\left(x>1\text{ and }t>0\text{ and }x\leq \sqrt{5}\right)\text{ or }\left(x>-2\text{ and }x<1\text{ and }|x|\leq \sqrt{5}\text{ and }t>0\right)\end{matrix}\right.$$