Solve q/n^2=1/Delta

$$\frac { q } { n ^ { 2 } } = \frac { 1 } { \Delta }$$

Solve for q

$$q=\frac{n^{2}}{\Delta }$$

$$n\neq 0\text{ and }\Delta \neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by \Delta n^{2}, the least common multiple of n^{2},\Delta .

$$\Delta q=n^{2}$$

Divide both sides by \Delta .

$$\frac{\Delta q}{\Delta }=\frac{n^{2}}{\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$q=\frac{n^{2}}{\Delta }$$

Solve for n

$$n=\sqrt{q\Delta }$$

$$n=-\sqrt{q\Delta }\text{, }\left(q<0\text{ and }\Delta <0\right)\text{ or }\left(\Delta >0\text{ and }q>0\right)$$