F(z)=|1+z|-z的共扼复数,且F(-z)=10-3i,求复数z

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F(z)=|1+z|-z的共扼复数,且F(-z)=10-3i,求复数zF(z)=|1+z|-z的共扼复数,且F(-z)=10-3i,求复数zF(z)=|1+z|-z的共扼复数,且F(-z)=10-3i

F(z)=|1+z|-z的共扼复数,且F(-z)=10-3i,求复数z
F(z)=|1+z|-z的共扼复数,且F(-z)=10-3i,求复数z

F(z)=|1+z|-z的共扼复数,且F(-z)=10-3i,求复数z
设z=a+bi.
F(-z)=|1-z|+z=√[(1-a)²+(-b)²]+a+bi=10-3i
b=-3.
√[(1-a)²+3²]+a=10.
解得:a=5.
z=5-3i