Solve 2x^2-16=k

$$2 x ^ { 2 } - 16 = k$$

Solve for k

$$k=2\left(x^{2}-8\right)$$

Solution Steps

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

$$k=2x^{2}-16$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{2\left(k+16\right)}}{2}$$

$$x=\frac{\sqrt{2\left(k+16\right)}}{2}$$

Solve for x

$$x=\frac{\sqrt{2\left(k+16\right)}}{2}$$

$$x=-\frac{\sqrt{2\left(k+16\right)}}{2}\text{, }k\geq -16$$