Question

Solve.
$x+\frac{4}{x}=-4(x\ne 0)$

Answer 1

$x+\frac{4}{x}=-4$

$\Rightarrow x^2+4=-4x$

$\Rightarrow x^2+4x+4=0\Rightarrow (x+2{)}^2=0$

x = -2