试题与答案

若复数z满足(3-3i)z=6i(i是虚数单位),则z=______.

题型:填空题

题目:

若复数z满足(
3
-3i)z=6i
(i是虚数单位),则z=______.

答案:

∵复数z满足(

3
-3i)z=6i,

∴z=

6i
3
-3i
=
6i(
3
+3i)
(
3
-3i)(
3
+3i)
=-
3
2
+
3
2
i

故答案为:-

3
2
+
3
2
i.

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