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A=1-1/2+1-1/4+...+1-1/2024
=10-(1/2+1/4+...+1/2024)
Đặt B=1/2+1/4+...+1/1024
=>2B=1+1/2+...+1/512
=>B=1-1/1024=1023/1024
=>A=10-1023/1024=9217/1024
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-x - x = 146 -31 -511 -72
-2x = -468
2x = 468
x =234
k cho mình nha
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\(x:\dfrac{1}{2}+x:\dfrac{1}{4}+x:\dfrac{1}{8}+...+x:\dfrac{1}{512}=511\\ 2x+4x+8x+..+512x=511\\ x\left(2+4+8+...+512\right)=511\\ x\left(2^1+2^2+2^3+...+2^9\right)=511\\ \)
Gọi \(S=2^1+2^2+2^3+...+2^9\)
\(2S=2^2+2^3+2^4+...+2^{10}\\ 2S-S=\left(2^2+2^3+2^4+...+2^{10}\right)-\left(2^1+2^2+2^3+...+2^9\right)\\ S=2^{10}-2\)
\(x\left(2^{10}-2\right)=511\\ 2x\left(2^9-1\right)=511\\ 2x\left(512-1\right)=511\\ 2x\cdot511=511\\ 2x=1\\ x=\dfrac{1}{2}\)
Vậy \(x=\dfrac{1}{2}\)
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a/\(450:\left(x-19\right)=50\)
=>\(x-19=9\)
=>\(x=28\)
Vậy...
b/\(3^2.\left(x+4\right)-5^2=5x.2^2\)
\(9\left(x+4\right)=20x+25\)
\(20x+25=9x-36\)
\(11x=-61\)
\(x=-\dfrac{61}{11}\)
Vậy..
c/Tương tự
d/Tương tự
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\(555.40+\frac{511}{554.41}-3\)
\(=22200+\frac{511}{22714}-3\)
\(=22197,0225\)