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Х-2≥-3х
х+3х≥2
4х≥2
х≥2/4
х≥0,5
х∈[0,5; +∞)
А)х^3-4xy^2=x(x^2-4y^2)=x(x-2y)(x+2y)
б)(a^2-ab)+7a-7b=a(a-b)+7(a-b)=(a+7)(a-b)
X=π/3+y
(1+cos2x)/2+(1+cos2y)/2=-3/4
2+cos2x+cos2y=-3/2
cos2x+cos2y=-7/2
2cos(x+y)*cos(x-y)=-7/2
cos(x+y)cos(x-y)=-7/4
cos(2y+π/3)cosπ/3=-7/4
1/2cos(x+y)=-7/4
cos(x+y)=-7/2
нет решения,т.к. -7/2∉[-1;1]