复数1/(2+3i)可以化成什么?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/30 00:18:48
复数1/(2+3i)可以化成什么?

复数1/(2+3i)可以化成什么?
复数1/(2+3i)可以化成什么?

复数1/(2+3i)可以化成什么?
1/(2+3i)
=1x(2-3i)/[(2+3i)(2-3i)]
=(2-3i)/(4-9i²)
=(2-3i)/13

原式=(2-3i)/[(2+3i)(2-3i)]=(2-3i)/13

1/(2+3i)
=(2-3i)/[(2+3i)(2-3i)]
=(2-3i)/(4+9)
=(2-3i)/13

1/(2+3i)=(2-3i)/((2+3i)(2-3i))=(2-3i)/(4+9)=2/13-3/13i