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1+2+3+....+n = n(n+1)/ 2
rezulta ca
2013 (2013+1)/2 = 2013* 2014 /2
introduci in ecuatia data
2014 + 2* 2013*2014/2
2014 + 2013 * 2014
dai pe 2014 numitor comun = 2014(1 + 2013) = 2014 *2014 deci este patrat perfect
2014+2013x2014=
2014(1+2013)=
2014x2014=
2014² este patrat perfect