已知i是虚数单位,复数z满足 (1+2i)z=4+3i,求复数z

已知i是虚数单位,复数z满足 (1+2i)z=4+3i,求复数z.
2025-03-13 10:41:36
推荐回答(1个)
回答1:

由复数z满足 (1+2i)z=4+3i,可得 z=
4+3i
1+2i
=
(4+3i)(1?2i)
(1+2i)(1?2i)
=
10?5i
5
=2-i,
即 z=2-i.