Răspuns :
[tex]\displaystyle\bf\\\sqrt{(5x-2)^2}=8\\\\|5x-2|=8\\\\Ecuatia~1:\\5x-2=8\\5x=8+2\\5x=10\\\\x=\frac{10}{5}\\\\\boxed{\bf x_1=2}\\\\Ecuatia~2:\\2-5x=8\\-5x=8-2\\-5x=6\\\\\boxed{\bf x_2=-\frac{6}{5}=-1,\!2}[/tex]
[tex]\displaystyle\bf\\\sqrt{(5x-2)^2}=8\\\\|5x-2|=8\\\\Ecuatia~1:\\5x-2=8\\5x=8+2\\5x=10\\\\x=\frac{10}{5}\\\\\boxed{\bf x_1=2}\\\\Ecuatia~2:\\2-5x=8\\-5x=8-2\\-5x=6\\\\\boxed{\bf x_2=-\frac{6}{5}=-1,\!2}[/tex]