复数z+1=(z-1)i,则z的值是(  ) A.i B.-i C.1+i D.1-i

问题描述:

复数z+1=(z-1)i,则z的值是(  )
A. i
B. -i
C. 1+i
D. 1-i

复数z+1=(z-1)i,
z=

−1−i
1−i
=
(−1−i)(1+i)
(1−i)(1+i)
−2i
2
=−i

故选B.