主題:極座標的值

我算的答案是0，以下是我的算式，不知道對不對。 z+1/z=1 -->  z^2 - z +1 =0  -->  z= 1/2 +- [(根號3)/2] i 當z= 1/2 + [(根號3)/2] i   z= cos(60)+i sin(60) 極座標   z^101 = cos(60*101)+i sin(60*101) = cos(300)+i sin(300) = 1/2 - i [(根號3)/2]   z^100= cos(60*100)+i sin(60*100)   = cos(240)+i sin(240) = -1/2 - i [(根號3)/2]   1/z^100 = -1/2 + i [(根號3)/2]   z^101＋1/z^100 = 0 當z= 1/2 - [(根號3)/2] i z^101 = 1/2 + i [(根號3)/2] z^100 = -1/2 + i [(根號3)/2]   1/z^100 = -1/2 - i [(根號3)/2]   z^101＋1/z^100 = 0