Question

X favor me podrías ayudar X+2=4/x-2

Answer 1

$x+2=\frac{4}{x-2}$
$\mathrm{Multiplicar\:ambos\:lados\:por\:}x-2:$
$x\left(x-2\right)+2\left(x-2\right)=\frac{4}{x-2}\left(x-2\right)$
$x\left(x-2\right)+2\left(x-2\right)=4$
Desarrolar:
$x^{2} -2x+2x-4=4$
$x^{2} -4=4$
$\mathrm{Restar\:}4\mathrm{\:de\:ambos\:lados}:$
$x^2-4-4=4-4$
$x^2-8=0$
$x_{1} =2\sqrt{2},\: x_{2} =-2\sqrt{2}$