Solve 5r^2-3n=784

$$5 r ^ { 2 } - 3 n = 784$$

Solve for n

$$n=\frac{5r^{2}-784}{3}$$

Steps for Solving Linear Equation

Subtract 5r^{2} from both sides.

$$-3n=784-5r^{2}$$

Divide both sides by -3.

$$\frac{-3n}{-3}=\frac{784-5r^{2}}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$n=\frac{784-5r^{2}}{-3}$$

Divide 784-5r^{2} by -3.

$$n=\frac{5r^{2}-784}{3}$$

Solve for r (complex solution)

$$r=-\frac{\sqrt{15n+3920}}{5}$$

$$r=\frac{\sqrt{15n+3920}}{5}$$

Solve for r

$$r=\frac{\sqrt{15n+3920}}{5}$$

$$r=-\frac{\sqrt{15n+3920}}{5}\text{, }n\geq -\frac{784}{3}$$