\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=\frac{23}{16}\)

\(4x+\frac{15}{16}=\frac{23}{16}\)

\(4x=\frac{1}{2}\)

\(x=\frac{1}{8}\)

             Vậy \(x=\frac{1}{8}\)

\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=\frac{23}{16}\)

\(\Rightarrow\left(x+x+x+x+x\right)+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=\frac{23}{16}\)

\(\Rightarrow5x+\frac{15}{32}=\frac{23}{16}\)

\(\Rightarrow5x=\frac{23}{16}-\frac{15}{32}\)

\(\Rightarrow5x=\frac{31}{32}\)

\(\Rightarrow x=\frac{31}{32}.\frac{1}{5}=\frac{31}{160}\)

Có 4x thôi Nguyễn Quang Trung

a x * 4 + [1/2 + 1/4 + 1/8 + 1/6] = 23/16

x * 4 +             25/24             = 23/16

x * 4                                     = 23/16 - 25/24

x * 4                                     =   38/96 = 19/48

x                                          = 19/48 / 4

x                                          = 19/172

b x *         1              = 425

x                              = 425 / 1

x                              =    425

x=1/8

mình nhanh nhất

Nhưng Azure phan bảo linh ơi, mình cần cả bài giải cơ nếu bạn ghi hẳn bài giải ra thì mình sẽ k cho nhé

Xx4+(1/2+1/4+1/8+1/16)=23/16

Xx4=23/16-(1/2+1/4+1/8+1/16)

Xx4=1/2

X=1/2:4

X=1/8

1/8 nha bn

ako lop may mik lop 4 neu ban lop 4 thi ket ban nha

4x + 15/16 =23/16

4x = 23/16 - 15/16

4x=1/2

x=1/2:4

x=1/8

x bằng 1/8 chuẩn luôn không sai tí nào mình thử rồi

x=\(\frac{1}{8}\)

truoc tien quy dong roi tinh hoac so sanh voi 1/2 kich nhe

câu này ở trong Violympic nên mình nói luôn đáp án là 1/8

\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=1\)

\(\Leftrightarrow4\text{x}+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}=1\)

\(\Leftrightarrow4\text{x}+\frac{15}{16}=1\)

\(\Leftrightarrow4\text{x}=1-\frac{15}{16}\)

\(\Leftrightarrow4\text{x}=\frac{1}{16}\)

\(\Leftrightarrow x=\frac{1}{16}:4=\frac{1}{64}\)

(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

(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

\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=1\)

\(\left(x+x+x+x\right)+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=1\)

\(4x+\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=1\)

\(4x+\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+\frac{1}{8}-\frac{1}{16}\right)=1\)

\(4x+\left(1-\frac{1}{16}\right)=1\)

\(4x+\frac{15}{16}=1\)

\(4x=\frac{1}{16}\)

\(\Rightarrow x=\frac{1}{64}\)

\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=1\)

\(\left(x+x+x+x\right)+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=1\)

\(4x+\frac{15}{16}=1\)

\(4x=\frac{1}{16}\)

\(x=\frac{1}{16}\div4\)

\(x=\frac{1}{64}\)

Vậy ...

\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=1\)1

(x+x+x+x)+(1/2+1/4+1/8+1/16)=1

=>4x+15/16=1

=>4x=1:15/16

=>4x=1 x 16/15

=>4x=1/16

=>x=1/16:4

=>x=1/64

Vậy x=1/64