S^3+2S^2+2S+3=0

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S^3+2S^2+2S+3=0S^3+2S^2+2S+3=0S^3+2S^2+2S+3=0令S=Cosx+iSinxS0:Cos3x+iSin3x+2Cos2x+iSin2x+2Cosx+iSinx+

S^3+2S^2+2S+3=0
S^3+2S^2+2S+3=0

S^3+2S^2+2S+3=0
令S=Cosx+iSinx
S0:
Cos3x+iSin3x+2Cos2x+iSin2x+2Cosx+iSinx+3=0
So:
cos3x+2cos2x+3=0
sin3x+2sin2x+sinx=0
化解可以解出答案,共有3个解