2sin^2 x-5sinx*cosx+3cos^2 x=o

2sin^2 x-5sinx*cosx+3cos^2 x=0 | : Cos²x 2tg²x - 5tgx +3 = 0 tgx = t 2t² - 5t +3 = 0 D = b² -4ac = 25 -24 = 1 t₁ = 6/4 = 1,5                                 t₂ = 1 a) tgx = 1,5                                  б) tgx = 1 x = arctg1,5 + πk , k ∈Z           x = π/4 + πn , n ∈Z