Solve m^2-13n+72=0

$$m ^ { 2 } - 13 n + 72 = 0$$

Solve for n

$$n=\frac{m^{2}+72}{13}$$

Steps for Solving Linear Equation

Subtract m^{2} from both sides. Anything subtracted from zero gives its negation.

$$-13n+72=-m^{2}$$

Subtract 72 from both sides.

$$-13n=-m^{2}-72$$

Divide both sides by -13.

$$\frac{-13n}{-13}=\frac{-m^{2}-72}{-13}$$

Dividing by -13 undoes the multiplication by -13.

$$n=\frac{-m^{2}-72}{-13}$$

Divide -m^{2}-72 by -13.

$$n=\frac{m^{2}+72}{13}$$

Solve for m (complex solution)

$$m=-\sqrt{13n-72}$$

$$m=\sqrt{13n-72}$$

Solve for m

$$m=\sqrt{13n-72}$$

$$m=-\sqrt{13n-72}\text{, }n\geq \frac{72}{13}$$