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Aratati ca numarul m = 2011+2inmultit (1+2+3+4+...2011) este patrat perfect Va rog !

Răspuns :

m=2011+2×(1+2+3+4+...2011) =
=
2011+2×2011×2012/2=
=2011+2011×2012=
=2011+2011×2012=
=2011×(1+2012)=
=2011×2013

ca sa fie patrat perfect
m=2012+2×(1+2+3+4+...2011) =
=2012+2×2011×2012/2=
=2012+2011×2012=
=2012+2011×2012=
=2012×(1+2011)=
=2012×2012=
=2012²