6 tg квадрат x+tgx-1=0

Question

6 tg квадрат x+tgx-1=0

Answer 1

6tg^2x + tgx - 1 = 0 
Замена: tgx = t
6t^2 + t - 1 =0
D = 1 + 24 = 25
t1/2 =-0,75 ; -0.5
tgx = -0,5
x = -arctg0,5 + pi K
x = -arctg0,75 + pi K