Question

$$y=2x^{2}-8x+3$$

Solve for x (complex solution)

$x=\frac{\sqrt{2y+10}}{2}+2$
$x=-\frac{\sqrt{2y+10}}{2}+2$

Solve for x

$x=\frac{\sqrt{2y+10}}{2}+2$
$x=-\frac{\sqrt{2y+10}}{2}+2\text{, }y\geq -5$

Solve for y

$y=2x^{2}-8x+3$