Question

$$\frac{m^{2}-1}{m}=6; i)m^{2}+\frac{1}{m^{2}}; i_{1})(m+\frac{1}{m})^{2}$$

Solve for m, n

$m=3-\sqrt{10}\approx -0.16227766\text{, }n=i$
$m=\sqrt{10}+3\approx 6.16227766\text{, }n=i$