Question

设复数z满足4z＋2z（z上面有一横）＝3√3＋i,求复数z的模

Answer 1

设复数z=a+bi,因为4z＋2z（z上面有一横）＝3√3＋i,所以4（a+bi）+2（a-bi）＝3√3＋i,即6a+2bi=3√3＋i,6a=3√3,2b=1,a=√3/2,b=1/2,所以复数z的模是1.