Resol F=m^2+m^-2/m^2-m^-2

$$F = \frac { m ^ { 2 } + m ^ { - 2 } } { m ^ { 2 } - m ^ { - 2 } }$$

Resoleu F (complex solution)

$$F=\frac{m^{4}+1}{m^{4}-1}$$

$$m\neq 0\text{ and }m\neq -1\text{ and }m\neq -i\text{ and }m\neq i\text{ and }m\neq 1$$

Resoleu m (complex solution)

$$m=\left(F-1\right)^{-\frac{1}{4}}\sqrt[4]{F+1}$$

$$m=-\left(F-1\right)^{-\frac{1}{4}}\sqrt[4]{F+1}$$

$$m=-i\left(F-1\right)^{-\frac{1}{4}}\sqrt[4]{F+1}$$

$$m=i\left(F-1\right)^{-\frac{1}{4}}\sqrt[4]{F+1}\text{, }F\neq 1\text{ and }F\neq -1$$

Resoleu F

$$F=\frac{m^{4}+1}{m^{4}-1}$$

$$m\neq 0\text{ and }|m|\neq 1$$

Resoleu m

$$m=-\sqrt[4]{\frac{F+1}{F-1}}$$

$$m=\sqrt[4]{\frac{F+1}{F-1}}\text{, }|F|>1$$