1.已知z+1的实部与虚部相等且都大于0,虚数z满足z-2/z^2+1属于R,求z.

1.已知z+1的实部与虚部相等且都大于0,虚数z满足z-2/z^2+1属于R,求z.
1.已知z+1的实部与虚部相等且都大于0,虚数z满足z-2/z^2+1属于R,求z.

1.已知z+1的实部与虚部相等且都大于0,虚数z满足z-2/z^2+1属于R,求z.
z=a+bi
a+1=b
(a+bi-2)/((a+bi)^2+1)属于R
(a-2+bi)/(a^2-b^2+1+2abi)属于R
(a-2)/(a^2-b^2+1)=b/2ab
(a-2)/(-2a)=1/2a
a=1
Z=1+2i