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Rezolvati ecuatia:x+2x+3x+...+100x=50 500

Răspuns :

x+2x+3x.....+100x=50.500
x(1+2+...+100)=50500
x(100*101:2)=50500
x*5050=50500
x=50500:5050
x=10

x factor comun
x(1+2+3+...+100)=50 500
x(101•100:2)=50 500
x(101•50)=50 500
x•5050=50 500
x= 50 500:5050
x= 10