6sin²x - 3sinxcosx - cos²x = Sin²x + Cos²x
6sin²x - 3sinxcosx - cos²x - Sin²x - Cos²x = 0
5Sin²x -3SinxCosx -2Cos²x = 0 | : Cos²x ≠ 0
5tg²x - 3tgx -2 = 0
D = 9 + 40 = 49
а)tgx = 1 б) tgx = -0,4
x = π/4 + πk , k ∈Z x = -arctg0,4 + πn , n ∈Z
2x-3+3=5+3; 2x=8; x=4;
2x-3-3=5-3; 2x-6=2; 2x=2=6; 2x=8; x=2;
2x-3-0.5=5-0.5; 2x-3.5=4.5; 2x=8; x=2;
2x-3+0.25=5+0.25; 2x-2.75=5.25; 2x=5.25+2.75; 2x=8; x=2.
q=750/(-1250)=-75/125=-3/5
a6=a1×qˇ5
a6=(-1250) × (-3/5)ˇ5=(-1250) × (-243/3125)=
= 250 × (243/625)=10 × (243/25)=2 × (243/5)= 486/5
a4=(-450)×(-3/5)=270
a5=270×(-3/5)=-54×3=-162
a6=-162×(-3/5)=486/5
Otvet: a6=486/5