Solve {l}{V_{1}=sqrt{2gh}}{h=0.8m}{g=10m/s^2}

$$\left\{ \begin{array} { l } { V _ { 1 } = \sqrt { 2 g h } } \\ { h = 0.8 m } \\ { g = 10 m / s ^ { 2 } } \end{array} \right.$$

Solve for V_1, g, h, m, s (complex solution)

$$s=\frac{5g^{-0.5}\sqrt{2h}}{2}\text{, }V_{1}=\sqrt{2gh}\text{, }g\neq 0\text{, }h\neq 0\text{, }m=\frac{5h}{4}$$

$$s=-\frac{5g^{-0.5}\sqrt{2h}}{2}\text{, }V_{1}=\sqrt{2gh}\text{, }g\neq 0\text{, }h\neq 0\text{, }m=\frac{5h}{4}$$

$$s\neq 0\text{, }V_{1}=0\text{, }g=0\text{, }h=0\text{, }m=0$$

Solve for V_1, g, h, m, s

$$s\neq 0\text{, }V_{1}=-\frac{4m}{|s|}\text{, }g=\frac{10m}{s^{2}}\text{, }h=\frac{4m}{5}\text{, }m\leq 0$$

$$s\neq 0\text{, }V_{1}=0\text{, }g=0\text{, }h=0\text{, }m=0$$

$$s\neq 0\text{, }V_{1}=\frac{4m}{|s|}\text{, }g=\frac{10m}{s^{2}}\text{, }h=\frac{4m}{5}\text{, }m\geq 0$$