复数z1^2=z2 z1,z2共轭复数求 z1 z2_数学解答

复数z1^2=z2 z1,z2共轭复数求 z1 z2

人气：321 ℃　时间：2020-01-27 04:13:41

解答

设z1=a+bi则z2=a-biz1^2=z2 (a+bi)²=a-bia²-b²+2abi=a-bia²-b²=a2ab=-b解得：a1=1；b1=0a2=-1/2；b2=√3/2a3=-1/2;b3=-√3/2所以：z1=1；z2=1z1=-1/2+√3/2i；z2=-1/2-√3/2iz1=-1/2-√3/2...