Solve y=2x^2+k

$$y = 2 x ^ { 2 } + k$$

Solve for k

$$k=y-2x^{2}$$

Solution Steps

Swap sides so that all variable terms are on the left hand side.

$$2x^{2}+k=y$$

Subtract 2x^{2} from both sides.

$$k=y-2x^{2}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{2\left(y-k\right)}}{2}$$

$$x=\frac{\sqrt{2\left(y-k\right)}}{2}$$

Solve for x

$$x=\frac{\sqrt{2\left(y-k\right)}}{2}$$

$$x=-\frac{\sqrt{2\left(y-k\right)}}{2}\text{, }y\geq k$$