Question

Resolver em x:|x+2/x-2|=5

Answer 1

$| \frac{x+2}{x-2} |=5 \\ \\ \frac{x+2}{x-2} =5 \\ \\ \frac{x+2}{x-2} =-5 \\ \\ \\ \frac{x+2}{x-2} =5 \\ \\ x+2=5(x-2) \\ \\ x+2=5x-10 \\ \\ x-5x=-10-2 \\ \\ -4x=-12 \\ \\ x= \frac{-12}{-4} =3 \\ \\ \\ \frac{x+2}{x-2} =-5 \\ \\ x+2=-5(x-2) \\ \\ x+2=-5x+10 \\ \\ x-+5x=10-2 \\ \\ 6x=8 \\ \\ x= \frac{8}{6} = \frac{3}{4}$

x=3 ou x=$\frac{3}{4}$