1/Z=1/Z1+1/Z2,因为i^2(的平方)等于-1.所以1/z=(z1+z2)/z1z2=(5+10i+3-4i)/(5+10i)(3-4i)=(8+6i)/(15+30i-20i-40i^2)=(8+6i)/(55+10i).所以z= (55+10i)/(8+6i)=(55+10i)(8-6i)/(8+6i)(8-6i)=(440+80i-330i-60i^2)/(64-36i^2)=(500-250i)/100=5-2.5i.所以Z=5-2.5i.
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1/Z=1/Z1+1/Z2,因为i^2(的平方)等于-1.所以1/z=(z1+z2)/z1z2=(5+10i+3-4i)/(5+10i)(3-4i)=(8+6i)/(15+30i-20i-40i^2)=(8+6i)/(55+10i).所以z= (55+10i)/(8+6i)=(55+10i)(8-6i)/(8+6i)(8-6i)=(440+80i-330i-60i^2)/(64-36i^2)=(500-250i)/100=5-2.5i.所以Z=5-2.5i.
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