2ctg^2x+ctgx-6=0 решите пж

[latex]2 ctg ^{2} x+ctg x-6=0 \ ctg x=t \ 2t ^{2} +t-6=0 \ D=1+48=49 \ t _{1} = frac{-1-7}{4} =-2 \ t _{2} = frac{-1+7}{4} = frac{6}{4} = frac{3}{2} \ 1. ctg x=-2 \ x=arcctg(-2)+ pi k \ x= pi -arcctg 2+ pi k \ 2.ctg x= frac{3}{2} \ x=arcctg frac{3}{2} + pi k [/latex]