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\(2^x+2^{x+1}+2^{x+2}=960-2^{x+3}\)
\(\Leftrightarrow2^x+2^{x+1}+2^{x+2}+2^{x+3}=960\)
\(\Leftrightarrow2^x\left(1+2+2^2+2^3\right)=960\)
\(\Leftrightarrow2^x.15=960\)
\(\Leftrightarrow2^x=64\)
\(\Leftrightarrow2^x=2^6\Leftrightarrow x=6\)
Vậy...
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1: =>x+1/2=0 hoặc 2/3-2x=0
=>x=-1/2 hoặc x=1/3
2: =>7/6x=5/2:3,75=2/3
=>x=2/3:7/6=2/3*6/7=12/21=4/7
3: =>2x-3=0 hoặc 6-2x=0
=>x=3 hoặc x=3/2
4: =>-5x-1-1/2x+1/3=3/2x-5/6
=>-11/2x-3/2x=-5/6-1/3+1
=>-7x=-1/6
=>x=1/42
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Có tất cả 2015 số hạng
Tổng bằng (2x+1+2x+2015).2015/2=0
4x+2016=0
4x=0-2016=-2016
x=(-2016):4=-504
100% đúng
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a. \(2\left(\dfrac{1}{2}x-\dfrac{1}{3}\right)-\dfrac{3}{2}=\dfrac{1}{4}\\ \Leftrightarrow2\left(\dfrac{1}{2}x-\dfrac{1}{3}\right)=\dfrac{7}{4}\\ \Leftrightarrow\dfrac{1}{2}x-\dfrac{1}{3}=\dfrac{7}{8}\\ \Leftrightarrow\dfrac{1}{2}x=\dfrac{29}{24}\\ \Leftrightarrow x=\dfrac{29}{12}\)
b. \(\dfrac{3}{4}-2\left(2x-\dfrac{2}{3}\right)=2\\ \Leftrightarrow2\left(2x-\dfrac{2}{3}\right)=-\dfrac{5}{4}\\ \Leftrightarrow2x-\dfrac{2}{3}=-\dfrac{5}{8}\\ \Leftrightarrow2x=\dfrac{1}{24}\\ \Leftrightarrow x=\dfrac{1}{48}\)
c. \(\left(2x-3\right)\left(6-2x\right)=0\\ \Rightarrow\left[{}\begin{matrix}2x-3=0\\6-2x=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=3\end{matrix}\right.\)
Vậy ..........
\(2^x+2^{x+1}+2^{x+2}=960-2^{x+3}\\ \Leftrightarrow2^x+2^{x+1}+2^{x+2}+2^{x+3}=960\\ \Leftrightarrow2^x+2^x.2+2^x.2^2+2^x.2^3=960\\ \Leftrightarrow2^x\left(1+2+2^2+2^3\right)=960\\ \Leftrightarrow2^x.15=960\\ \Leftrightarrow2^x=64\\ \Leftrightarrow2^x=2^6\\ \Leftrightarrow x=6\)
Vậy \(x=6\)