Решите уравнение 2tg+ctgx-3=0

Ответ
ctg x = 1/tg x =>
2tg + 1/tgx - 3 = 0
2tg^2 x - 3tg x + 1 = 0
tg x = t
2t^2 - 3t + 1 = 0
t1 = 2 => tg x=2 => x=arctg 2
t1 = 1 => tg x=1 => x=arctg 1 = 45 град.