Question

$$y = 2 ( x - 3 ) ^ { 2 } + 5$$

Solve for y

$y=2\left(x-3\right)^{2}+5$

Show Solution

Solve for x (complex solution)

$x=-\frac{\sqrt{2y-10}}{2}+3$
$x=\frac{\sqrt{2y-10}}{2}+3$

Solve for x

$x=-\frac{\sqrt{2y-10}}{2}+3$
$x=\frac{\sqrt{2y-10}}{2}+3\text{, }y\geq 5$