复数Z满足(1+2i).Z=4+3i,那么Z=_.

问题描述:

复数Z满足(1+2i)

.
Z
=4+3i,那么Z=______.

因为(1+2i)

.
Z
=4+3i,
所以
.
z
4+3i
1+2i
(4+3i)(1−2i)
(1+2i)(1−2i)
=2-i
所以z=2+i,
故答案为2+i.