Question

como resolver |X + 2| / |X - 2| = 5 Att, Roger

Answer 1

Olá, Roger.

 

$<var>\frac{|x+2|}{|x-2|}=|\frac{x+2}{x-2}|=5 \Rightarrow \frac{x+2}{x-2}=\pm 5 \Rightarrow \\\\ \begin{cases} \frac{x+2}{x-2}=5 \Rightarrow x+2=5x-10 \Rightarrow -4x=-12 \Rightarrow \boxed{x=3} \\\\ \frac{x+2}{x-2}=-5 \Rightarrow x+2=-5x+10 \Rightarrow 6x = 8 \Rightarrow \boxed{x=\frac43} \end{cases}</var>$