已知1/z=1/(1-3i)+1/(3+4i),求z

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已知1/z=1/(1-3i)+1/(3+4i),求z已知1/z=1/(1-3i)+1/(3+4i),求z已知1/z=1/(1-3i)+1/(3+4i),求z1/z=(1+3i)/(1-3i)(1+3i

已知1/z=1/(1-3i)+1/(3+4i),求z
已知1/z=1/(1-3i)+1/(3+4i),求z

已知1/z=1/(1-3i)+1/(3+4i),求z
1/z=(1+3i)/(1-3i)(1+3i)+(3-4i)/(3+4i)(3-4i)=(1+3i)/10+(3-4i)/25=(11+7i)/50
所以z=50/(11+7i)=50(11-7i)/(11+7i)(11-7i)=55/17-35i/17

Z=(3+4i)(1-3i)/(4+i) 望采纳

1/z=(1+3i)/(1-9i²)+(3-4i)/(9-16i²)=(1+3i)/10+(3-4i)/25=(5+15i+6-8i)/50=(11+7i)/50
z=5/17(11-7i)