问题
填空题
已知复数z满足
|
答案
设复数z=a+bi (a、b∈R),代入已知的等式得
=3,i a+bi-1
=3,i(a-1-bi) (a-1+bi)(a-1-bi)
=3,∴a=1,b=b+(a-1)i (a-1)2+b2
,1 3
∴a+b=1+
=1 3
,4 3
故答案为:
.4 3
已知复数z满足
|
设复数z=a+bi (a、b∈R),代入已知的等式得
=3,i a+bi-1
=3,i(a-1-bi) (a-1+bi)(a-1-bi)
=3,∴a=1,b=b+(a-1)i (a-1)2+b2
,1 3
∴a+b=1+
=1 3
,4 3
故答案为:
.4 3