x*(1-1/2)*(1-1/3)*(1-1/4)*..*(1-1/100)=14,52 (aducem la acelasi numitor in fiecare paranteza) =>
x*(2/2-1/2)*(3/3-1/3)*(4/4-1/4)*..*(100/100-1/100)=14,52 =>
x*1/2*2/3*3/4*..*99/100=14,52 (se simplifica numitorii cu numaratorii) =>
x*1/100=14,52 =>
x/100=14,52 (inmultim cu 100 in ambele parti) =>
x=1452