1/2*sin(2π/3-4x)≥√3/4
sin(2π/3-4x)≥√3/2
sin(4x-2π/3≤-√3/2
4π/3+2πn≤4x-2π/3≤5π/3+2πn
2π+2πn≤4x≤7π/3+2πn
π/2+πn/2≤x≤7π/12+πn/2,n∈z
3^x=9
3^x=3^2
x=2
3^2=9
2^x=16
2^x=2^4
x=4
2^4=16
0.5^x=0.125
0.5^x=0.5^3
x=3
0.5^3=0.125
6^(2x-8)=216^x
6^(2x-8)=6^3x
2x-8=3x
2x-3x=8
-x=8
x=-8
6х^2-х-35 = 0
D=1-4*6*(-35)=1+840=841
x1=(1+29)/12=30/12=5/2=2 целых 1/2
х2=(1-29)/12=-28/12=-7/3=-2 целых 1/3
= 25 - 10y + y^2 - y^2 + 3y = 25 - 7y
25 - 7 * (-2/7) = 25 + 2 = 27