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a +1/a=-2
a la puterea 2013 +1/a la puterea 2013=?


Răspuns :

a∈R* pt ca 1/a sa existe

a²+1=-2a
a²+2a+1=0
(a+1)²=0
a=-1∈R*, solutie unica
a^2013=(-1)^2013=-1
1/a^2013=1/-1=-1

suma ceruta=-1-1=-2
as simple as that!!