Question

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

Solve for x (complex solution)

$x=\frac{\sqrt{4y+1}+3}{2}$
$x=\frac{-\sqrt{4y+1}+3}{2}$

Solve for x

$x=\frac{\sqrt{4y+1}+3}{2}$
$x=\frac{-\sqrt{4y+1}+3}{2}\text{, }y\geq -\frac{1}{4}$

Solve for y

$y=\left(x-2\right)\left(x-1\right)$