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Rezolvati ecuatia 2×X + 4×X+...+4028×X =2014×2015

Răspuns :

Ne folosim de suma lui Gauss
*=inmultire

x(2+4+...4028)=4058210
x*2(1+2+...+2014)=4058210
2x*2014*(2014+1):2=4058210
2x*2014*2015:2=4058210
2x*4058210:2=4058210
x*4058210=4058210
x=4058210:4058210
x=1