Решите уравнение
tgx-2/2tgx+1=3

tgx-2/2tgx+1=3x eq  \pi/2+Κ  \pi .x=arctg(-1/2)+Κ  \pi .Κ∈Ζtgx-2=3(2tgx+1)tgx-2=6tgx=3tgx-6tgx=3+2-5tgx=5tgx=-1x=arctg-1x=-( \pi /4)x=-( \pi /4)+k \pi .Κ∈Ζx=3\pi /4 +k \pi .Κ∈Ζ .x  eq  arctg(-1/2)+k \pi ,Κ∈Ζx=3\pi /4 +k \pi .Κ∈Ζ