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execitiu x+2x+3x+4x+5x+......+100x=10100

Răspuns :

x+2x+3x+4x+5x+...+100x=10100
( 100x * 101x ) :2 = 10100
50x * 101x = 10100
5050x = 10100
x = 10100 : 5050
x = 2
x+2x+3x+4x+5x+......+100x=10100 =>
x(1+2+3+...........100)=10100
x*100*101/2=10100
x*5050=10100 => x =2