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Aflați x din egalitatea (2013^0+1+2+2^2+2^3+...... +2^100)•x=2^101

Răspuns :

(2013^0+1+2+2^2+2^3+...... +2^100)•x=2^101

1+2+2^2+2^3+...... +2^100=2^101 -1

2013^0=1

=> (1+2^101 -1)•x=2^101

2^101 •x=2^101

=> x=1