Question

4z+2z的共轭复数=3根号下3+i,

Answer 1

解设z=a+bi,则z的共轭复数为z=a-bi

则4z+2z的共轭复数=4（a+bi）+2（a-bI）=3√3+i

即6a+2bi=3√3+i

则6a=3√3,2b=1

即a=√3/2,b=1/2

即z=√3/2+1/2i