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

题目简介

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

题目详情

若复数z满足(
3
-3i)z=6i
(i是虚数单位),则z=______.
题型:填空题难度:中档来源:宝山区二模

答案

∵复数z满足(
3
-3i)z=6i

∴z=class="stub"6i
3
-3i
=
6i(
3
+3i)
(
3
-3i)(
3
+3i)
=-class="stub"3
2
+
3
2
i

故答案为:-class="stub"3
2
+
3
2
i

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