Question

$tg \frac{ \pi (x-5)}{3} = -\sqrt{3}$

Answer 1

$\frac{ \pi (x-5)}{3}= arctg( - \sqrt{3} ) + \pi k,$ k∈Z
$\frac{ \pi (x-5)}{3}= - \frac{ \pi }{3} + \pi k,$ k∈Z
$\pi (x-5)= - \pi +3 \pi k,$ k∈Z
$x-5= - 1+3k$
x=4+3k