((m-8)\5m)*((15m^2)\(m-8)(m+8))=3m\m+8
1
а)-π/6+π/4+π/3=(-2π+3π+4π)/12=5π/12
б)arcsin(√2/2)=arcsin(sinπ/4)=π/4
в)sin(π+π/6)=-sinπ/6=-1/2
2
а)t=(-1)^n*π/3+πn,n∈z
б)t=(-1)^(n+1)arcsin0,7+πn,n∈z
в)sint=-√5/5<-1 нет решения
X³ + (m - 1)x + m = 0
x(x² + m - 1) + m = 0
x(x² - 1) + m(x + 1) = 0
x(x - 1)(x + 1) + m(x + 1) = 0
(x + 1)(x(x - 1) + m) = 0 x = -1
x² - x + m = 0 D = b²-4ac = 1-4m
x₁ = (1+√(1-4m))/2
x₂ = (1-√(1-4m))/2
Ответ: {-1; (1+√(1-4m))/2; (1-√(1-4m))/2}