8 tg2 x +10 tg x + 3=0

Question

8 tg2 x +10 tg x + 3=0

Answer 1

Tg x=a
8a2+10a+3=0
D= 10^2-4*8*3=100-96=4=2^2
a1=-10-4/16=-7/8
a2=-10+4/16=-3/8
tg x=-7/8
x=-arctg7/8+Пn
или
tg x=-arctg3/8+Пn