Solve D=pm(-1)^1/4n

$$D = \pm ( - 1 ) ^ { 1 / 4 } n$$

Solve for n

$$n\in \mathrm{C}$$

$$D=0\text{ and }±\sqrt{2}\left(\frac{1}{2}+\frac{1}{2}i\right)=0$$

Steps for Solving Linear Equation

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

$$\left(±\left(-1\right)^{\frac{1}{4}}\right)n=D$$

Reorder the terms.

$$n\left(±\sqrt[4]{-1}\right)=D$$

The equation is in standard form.

$$\left(±\sqrt[4]{-1}\right)n=D$$

Divide both sides by ±\sqrt[4]{-1}.

$$\frac{\left(±\sqrt[4]{-1}\right)n}{±\sqrt[4]{-1}}=\frac{D}{±\sqrt[4]{-1}}$$

Dividing by ±\sqrt[4]{-1} undoes the multiplication by ±\sqrt[4]{-1}.

$$n=\frac{D}{±\sqrt[4]{-1}}$$

Divide D by ±\sqrt[4]{-1}.

$$n=\frac{D}{±\sqrt{2}\left(\frac{1}{2}+\frac{1}{2}i\right)}$$

Solve for D

$$D=n\left(±\sqrt{2}\left(\frac{1}{2}+\frac{1}{2}i\right)\right)$$

Solution Steps

Reorder the terms.

$$D=n\left(±\sqrt[4]{-1}\right)$$