y=frac{sqrt{x^2+5x}}{x-7} କୁ ସମାଧାନ କରନ୍ତୁ

$$y = \frac { \sqrt { x ^ { 2 } + 5 x } } { x - 7 }$$

x ପାଇଁ ସମାଧାନ କରନ୍ତୁ (ଜଟଳି ସମାଧାନ)

$$\left\{\begin{matrix}x=\frac{-14y^{2}+\sqrt{336y^{2}+25}-5}{2\left(1-y^{2}\right)}\text{; }x=-\frac{14y^{2}+\sqrt{336y^{2}+25}+5}{2\left(1-y^{2}\right)}\text{, }&y=0\text{ or }\left(y\neq 1\text{ and }y\neq -1\text{ and }arg(xy-7y)<\pi \right)\\x=\frac{49y^{2}}{14y^{2}+5}\text{, }&y=0\text{ or }\left(y=1\text{ and }arg(7-x)\geq \pi \right)\text{ or }\left(y=-1\text{ and }arg(7-x)<\pi \right)\end{matrix}\right.$$

y ପାଇଁ ସମାଧାନ କରନ୍ତୁ (ଜଟଳି ସମାଧାନ)

$$y=\frac{\sqrt{x\left(x+5\right)}}{x-7}$$

$$x\neq 7$$

x ପାଇଁ ସମାଧାନ କରନ୍ତୁ

$$\left\{\begin{matrix}x=-\frac{14y^{2}+\sqrt{336y^{2}+25}+5}{2\left(1-y^{2}\right)}\text{, }&\left(y>-1\text{ and }y\leq 0\right)\text{ or }y>1\\x=\frac{-14y^{2}+\sqrt{336y^{2}+25}-5}{2\left(1-y^{2}\right)}\text{, }&y\neq -1\text{ and }y\leq 0\\x=\frac{49}{19}\approx 2.578947368\text{, }&y=-1\end{matrix}\right.$$

y ପାଇଁ ସମାଧାନ କରନ୍ତୁ

$$y=\frac{\sqrt{x\left(x+5\right)}}{x-7}$$

$$\left(x\geq 0\text{ and }x\neq 7\right)\text{ or }x\leq -5$$