k,m,n

[requferofile]

find $k,m,n $ in real number if

$k^2-m=m^2-n=n^2-k=2$

[maxal]

Express $k$ in terms of $n$, $m$ in terms in $k$, and $n$ in terms of $m$ to get an octic equation in $n$

[requferofile]

how you can get 8 solutions

[RIP]

Substitution $k=2\cos\alpha$.