Question

i是虚数单位，若复数z满足z（2-i）=7-i，则z等于（　　）A．1+3iB．1-3iC．3-iD．3+

i是虚数单位，若复数z满足z（2-i）=7-i，则z等于（　　）A．1+3iB．1-3iC．3-iD．3+i

Answer 1

由z（2-i）=7-i得，
z＝

7?i

2?i

=

(7?i)(2+i)

(2?i)(2+i)

=

15+5i

5

=3+i，
故选D．