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Verificati daca multimileA siB sunt egale A={x€N|(10^2)^10x:(10^3×10^6×10^9)^x=10.000 B={x€N|x+2x+3x+...+10x=110}

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Spidie
A={x€N|(10^2)^10 x ÷ (10^3×10^6×10^9)^x=10.000
10^2)^10 x ÷ (10^3×10^6×10^9)^x=
10²⁰ˣ÷ 10¹⁸ˣ= 10²ˣ
10²ˣ= 10⁴; 2x=4; x=2

B={x€N|x+2x+3x+...+10x=110}
|x+2x+3x+...+10x= x(1+2+3+....+10)=x*10*11/2=x*55
x*55=110x=110÷55
x=2

x(A)= x(B)