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Bài giải
\(\left(\frac{1}{4}\text{ x }x-\frac{1}{8}\right)\text{ x }\frac{3}{4}=\frac{1}{4}\)
\(\left(\frac{1}{4}\text{ x }x-\frac{1}{8}\right)=\frac{1}{4}\text{ : }\frac{3}{4}\)
\(\frac{1}{4}\text{ x }x-\frac{1}{8}=\frac{1}{3}\)
\(\frac{1}{4}\text{ x }x=\frac{1}{3}+\frac{1}{8}\)
\(\frac{1}{4}\text{ x }x=\frac{11}{24}\)
\(x=\frac{11}{24}\text{ : }\frac{1}{4}=\frac{11}{24}\text{ x }4\)
\(x=\frac{11}{6}\)
\(\left(\frac{1}{4}\times a-\frac{1}{8}\right)\times\frac{3}{4}=\frac{1}{4}\)
\(\Rightarrow\frac{1}{4}\times a-\frac{1}{8}=\frac{1}{4}:\frac{3}{4}\)
\(\Rightarrow\frac{1}{4}\times a-\frac{1}{8}=\frac{1}{3}\)
\(\Rightarrow\frac{1}{4}\times a=\frac{1}{3}+\frac{1}{8}\)
\(\Rightarrow\frac{1}{4}\times a=\frac{11}{24}\)
\(\Rightarrow a=\frac{11}{24}:\frac{1}{4}\)
\(\Rightarrow a=\frac{11}{6}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\Rightarrow x+\frac{1}{2}+x+\frac{1}{4}+x+\frac{1}{8}+x+\frac{1}{16}=1\)
\(\Rightarrow4\times x+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=1\)
\(\Rightarrow4\times x+\frac{8+4+2+1}{16}=1\)
\(\Rightarrow4\times x+\frac{15}{16}=1\)
\(\Rightarrow4\times x=1-\frac{15}{16}=\frac{1}{16}\)
\(\Rightarrow x=\frac{1}{16}:4=\frac{1}{16}\times\frac{1}{4}\)
\(\Rightarrow x=\frac{1}{64}\).
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=1\)
\(\Leftrightarrow4\text{x}+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}=1\)
\(\Leftrightarrow4\text{x}+\frac{15}{16}=1\)
\(\Leftrightarrow4\text{x}=1-\frac{15}{16}\)
\(\Leftrightarrow4\text{x}=\frac{1}{16}\)
\(\Leftrightarrow x=\frac{1}{16}:4=\frac{1}{64}\)
(x+1/2)+(x+1/4)+(x+1/8)+(x+16)=1
(x.x.x.x)+(1/2+1/4+1/8+1/16=1
4x+(1/2+1/4+1/8+1/16)=1
4x+(8/16+4/16+2/16+1/16)=1
4x+15/16=1
4x=1-15/16
4x=1/16
x=1/16:4
=>x=1/64
tick cho mk nha bạn
![](https://rs.olm.vn/images/avt/0.png?1311)
(x+1/2)+(x+1/4)+(x+1/8)+(x+1/16)=1
4x+(1/2+1/4+1/8+1/16)=1
4x+15/16=1
4x=1-15/16
4x=1/16
x=1/64
![](https://rs.olm.vn/images/avt/0.png?1311)
ta có:(x+x+x+x)+(1/2+1/4+1/8+1/16)=1 4x+15/16=1 4x=1-15/16 4x=1/16 x=1/16:4=1/64 vậy x=1/64 Mình trả lời trước nhé
\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=1\)
\(x+\frac{1}{2}+x+\frac{1}{4}+x+\frac{1}{8}+x+\frac{1}{16}=1\)
\(\left(x+x+x+x\right)+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=1\)
\(4x+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=1\)
Đặt \(A=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\)
\(A=\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}\)
\(2A=1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}\)
\(A=1-\frac{1}{2^4}\)
\(A=\frac{15}{16}\)
Thay A vào đẳng thức ta có
\(4x+\frac{15}{16}=1\)
\(4x=1-\frac{15}{16}\)
\(4x=\frac{1}{16}\)
\(x=\frac{1}{16}\div4\)
\(x=\frac{1}{64}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
A= 1/2 + 1/4+ 1/8+ 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512 (1)
=> 2A=1+ 1/2 + 1/4+ 1/8+ 1/16 + 1/32 + 1/64 + 1/128 + 1/256 (2)
Lấy (1)-(2)
=> 2A-A=(1+ 1/2 + 1/4+ 1/8+ 1/16 + 1/32 + 1/64 + 1/128 + 1/256)-(1/2 + 1/4+ 1/8+ 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512)
=>A=1-1/512=511/512
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