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复数z满足z（2-i）=1+7i，则复数z的共轭复数为（）A.-1-3iB.-1+3iC.1+3iD.1-3i
题目详情
复数z满足z（2-i）=1+7i，则复数z的共轭复数为（ ）
A. -1-3i
B. -1+3i
C. 1+3i
D. 1-3i
▼优质解答
答案和解析
∵z（2-i）=1+7i，
∴z=
=
=
=-1+3i，
∴
=-1-3i．
故选：A．
∴z=
| 1+7i |
| 2-i |
| (1+7i)(2+i) |
| (2-i)(2+i) |
| -5+15i |
| 5 |
∴
. |
| z |
故选：A．
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