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Calculati 1/1+3i + 1/1-3i

Răspuns :

 1/1+3i + 1/1-3i = 1/1 + 1/1 = 1 + 1 = 2 

1/(1+3i) + 1/(1-3i) = 
(1-3i)/(1+3i)(1-3i)  +  (1+3i)/(1+3i)(1-3i) = 
(1-3i+1+3i)/ (1 - 9i
²) =
2/(1-9i
²)