Question

решите уравнение 4/х= - |x|

Answer 1

$frac{4}{x}=-left|xright|\ D(f): xneq 0 == textgreater xinleft(-infty;0right)cupleft(0;+inftyright);\ 1) x textless 0:\ frac{4}{x}=-left(-xright);\ frac4x=x;\ x^2=4;\ x=pm2cup x textless 0== textgreater x=-2;\ 2) x textgreater 0:\ frac{4}{x}=-left(xright);\ frac4x=-x;\ x^2=-4;\ x=varnothing;$

Ответ: х=-2