n∈Z
Пусть n = 2, n = 3, n = 4, n = 5
x₁ = (-1)² × π/6 - 5π/12 + π×2/2 = 1 × π/6 - 5π/12 + π = π/6 - 5π/12 + π = 2π/12 - 5π/12 + 12π/12 = 9π/12 = 3π/4
x₂ = (-1)³ × π/6 - 5π/12 + π×3/2 = -1 × π/6 - 5π/12 + 3π/2 = -π/6 - 5π/12 + 3π/2 = -2π/12 - 5π/12 + 18π/12 = 11π/12
x₃ = (-1)⁴ × π/6 - 5π/12 + π×4/2 = 1 × π/6 - 5π/12 + 4π/2 = π/6 - 5π/12 + 4π/2 = 2π/12 - 5π/12 + 24π/12 = 21π/12 = 7π/4
x₄ = (-1)⁵ × π/6 - 5π/12 + π×5/2 = -1 × π/6 - 5π/12 + 5π/2 = -π/6 - 5π/12 + 5π/2 = -2π/12 - 5π/12 + 30π/12 = 23π/12
ответ: x₁ = 3π/4, x₂ = 11π/12, x₃ = 7π/4, x₄ = 23π/12
1)x-x^3=0
x(1-x^2)=0
x=0; или 1-x^2=0
x^2=1
x=1; или x=-1;
ответ: x=0; x=1; x=-1;
2)4y^3-y=0
y(4y^2-1)=0
y=0; или 4y^2-1=0;
4y^2=1
y^2=1: 4
y=1: 16; или y=-1: 16;
ответ: y=0: y=1: 16; y=-1: 16
3)x^4-x^2=0
x^2(x^2-1)=0
x^2=0; или x^2-1=0;
x=0 x^2=1
x=1; или x=-1;
ответ: x=0; x=1; x=-1;
4)9y^2-4y^4=0
y^2(9-4y^2)=0
y^2=0; или 9-4y^2=0
y=0 4y^2=9
y^2=9: 4
y=81: 16; или y=-81: 16
y=5+1: 16 y=-(5+1: 16)
ответ: y=0; y=5+1: 16; y=-(5+1: 16);
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