$$\left. \begin{array} { l } { y = \sqrt { x ^ { 2 } + 3 x - 10 } } \end{array} \right.$$
$x=\frac{\sqrt{4y^{2}+49}-3}{2}$
$x=\frac{-\sqrt{4y^{2}+49}-3}{2}\text{, }arg(y)<\pi \text{ or }y=0$
$x=\frac{\sqrt{4y^{2}+49}-3}{2}$
$x=\frac{-\sqrt{4y^{2}+49}-3}{2}\text{, }y\geq 0$