已知1/1-i+1/2+3i=x+yi,求实数x,y的值

问题描述:

已知1/1-i+1/2+3i=x+yi,求实数x,y的值

1/1-i+1/2+3i=x+yi
(1+i)/2+(2-3i)/(2²+3²)=x+yi
1/2+1/2i+2/13-3/13i=x+yi
所以
x=1/2+2/13=17/26
y=1/2-3/13=7/13