实数x、y满足(1-i)x+(1+i)y=2,则xy的值是_.
问题描述:
实数x、y满足(1-i)x+(1+i)y=2,则xy的值是______.
答
∵实数x、y满足(1-i)x+(1+i)y=2,即 x+y+(y-x)i=2,∴x+y=2,y-x=0,
解得 x=y=1,∴xy=1,
故答案为 1.