Question

设复数ω满足关系（1+i）ω=4（i为虚数单位）,则ω?

Answer 1

（1+i）ω=4

ω=4/(1+i)

=4(1-i)/[(1+i)(1-i)]

=4(1-i)/(1-i²)

=4(1-i)/2

=2(1-i)

=2-2i