1. tg²x-3*tgx=0
tgx*(tgx-3)=0
tgx=0 x₁=πn
tgx=3 x₂=arctg(3)+πn.
2. 4*tgx-7*ctgx+3=0
4*tgx-(7/tgx)+3=0
4*tg²x+3*tgx-7=0
Пусть tgx=t ⇒
4t²+3t-7=0 D=121 √D=11
t₁=tgx=1 x₁=π/4+πn
t₂=tgx=-1,75 x₂=arctg(-1,75)+πn.
Фото ..............,......
(3x-2)(x-1)= 3x²-3x-2x+2= 3x²-5x+2
2.1,5x + 1.x = 31, 4x=31, x = 31/4, y=1,5x = 1,5.31/4= 93/8.