若复数z满足z=i(2-z)(i是虚数单位),则z=_.
问题描述:
若复数z满足z=i(2-z)(i是虚数单位),则z=______.
答
由z=i(2−z)⇒z=
=2i 1+i
=1+i.2i(1−i) (1+i)(1−i)
故答案为:1+i.