Sin^4 4x + cos^2 x = 2sin4x * cos ^4 x
1\/8 (4 cos(2 x)-4 cos(8 x)+cos(16 x)+7) = 1\/8 (4 sin(2 x)+6 sin(4 x)+4 sin(6 x)+sin(8 x))
1\/2 cos^2(x) (-5 cos(2 x)+2 cos(4 x)+cos(6 x)-4 cos(8 x)+3 cos(10 x)-2 cos(12 x)+cos(14 x)+6) = 16 sin(pi\/4-x) sin(x) sin(x+pi\/4) cos^5(x)
1\/16 (e^(-4 i x)-e^(4 i x))^4+1\/4 (e^(-i x)+e^(i x))^2 = 1\/16 i (e^(-i x)+e^(i x))^4 (e^(-4 i x)-e^(4 i x))
x~~2. (3.14159 n-1.49581), n element Z
x~~2. (3.14159 n-1.43778), n element Z
x~~2. (3.14159 n+0.0749867), n element Z
x~~2. (3.14159 n+0.133013), n element Z
x~~2. (3.14159 n - (1.26876+0.0590281 i) ), n element Z
D=√(1-4*3*(4)) = √49 = 7
x1= (-1+7)/6 = 1
x2= (-1-7)/6 = -8/6=-4/3
2) x^2=t,
t^2-12t+27=0
По теореме виета
t1=9, t2=3
1) x^2=9 2) x^2=3
x1=3 x3=√3
x2=-3 x4=-√3