Question

Реши уравнение 144z+144-z^3-z^2=0

Answer 1

$144z+144-z^3-z^2=0,~|cdot (-1)medskip\z^3+z^2-144z-144=0,medskip\z^2left(z+1right)-144left(z+1right)=0,medskip\left(z+1right)left(z^2-144right)=0,medskip\left(z+1right)left(z-12right)left(z+12right)=0,medskip\left[begin{gathered}z=-1\z=12\z=-12end{gathered}$

Ответ. $zinleft{-1;12;-12right}$