K
Khách

Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.

ĐKXĐ: x<>1

\(\dfrac{x-1}{8}=\dfrac{8}{x-1}\)

=>\(\left(x-1\right)\cdot\left(x-1\right)=8\cdot8\)

=>\(\left(x-1\right)^2=64\)

=>\(\left[{}\begin{matrix}x-1=8\\x-1=-8\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=8+1=9\left(nhận\right)\\x=-8+1=-7\left(nhận\right)\end{matrix}\right.\)

1 tháng 12 2024

\(\dfrac{x-1}{8}\) = \(\dfrac{8}{x-1}\) (đk \(x-1\ne0\) \(x\ne\)  1)

(\(x-1\)).(\(x-1\)) = 8.8

(\(x-1\))2 = 82

\(\left[{}\begin{matrix}x-1=-8\\x-1=8\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=-8+1\\x=8+1\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=-7\\x=9\end{matrix}\right.\)

Vậy \(x\) \(\in\) {-7; 9)

18 tháng 7 2017

a) -3x+4+5x=-10-x

-3x+4+5x+10+x=0

(-3x+5x+x)+10=0

3x+10=0

3x=-10

x=\(\dfrac{-10}{3}\)

Vậy x=\(\dfrac{-10}{3}\)

b)-x+1=-3x-8

-x+1+3x+8=0

(-x+3x)+(1+8)=0

2x+9=0

2x=-9

x=\(\dfrac{-9}{2}\)

Vậy x=\(\dfrac{-9}{2}\)

c)8-(x-1)=10+(x+5)

8-x+1=10+x+5

9-x=15+x

9-x-15-x=0

(9-15)-(x+x)=0

-6-2x=0

2x=-6

x=-3

Vậy x=-3

d)100+(x+7)-(-2x+3)=8+(x+100)

100+x+7+2x-3=8+x+100

(x+2x)+(100+7-3)=(8+100)+x

3x+104=108+x

3x+104-108-x=0

(3x-x)+(104-108)=0

2x-4=0

2x=4

x=2

Vậy x=2

18 tháng 7 2017

e, \(\left|2x+5\right|=\left|x-1\right|\)

\(\Rightarrow\left\{{}\begin{matrix}2x+5=1-x\\2x+5=x-1\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}3x=-4\\x=-6\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=-\dfrac{4}{3}\\x=-6\end{matrix}\right.\)

g, \(\left|-x+4\right|=\left|-3x-8\right|\)

\(\Rightarrow\left\{{}\begin{matrix}-x+4=3x+8\\-x+4=-3x-8\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}-4x=4\\2x=-12\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=-1\\x=-6\end{matrix}\right.\)

h, \(\left|x+4\right|=\left|-3-8\right|\)

\(\Rightarrow\left|x+4\right|=\left|-11\right|=11\)

\(\Rightarrow\left\{{}\begin{matrix}x+4=-11\\x+4=11\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=-15\\x=7\end{matrix}\right.\)

Chúc bạn học tốt!!!

28 tháng 7 2018

a, x + \(\dfrac{1}{5}\) = \(\dfrac{5}{6}\)

x = \(\dfrac{5}{6}\) - \(\dfrac{1}{5}\)

x = \(\dfrac{19}{30}\)

b, x - \(\dfrac{3}{5}=\dfrac{6}{7}\)

x = \(\dfrac{6}{7}+\dfrac{3}{5}\)

x = \(1\dfrac{16}{35}\)

c, - x - \(\dfrac{7}{5}=\dfrac{-8}{9}\)

- x = \(\dfrac{-8}{9}+\dfrac{7}{5}\)

x = \(\dfrac{23}{45}\)

d, \(\dfrac{3}{8}-x=\dfrac{2}{3}\)

\(x=\dfrac{3}{8}-\dfrac{2}{3}\)

\(x=\dfrac{-7}{24}\)

e, \(|x-\dfrac{8}{9}|=\dfrac{1}{3}\)

\(x=\dfrac{1}{3}+\dfrac{8}{9}\)

\(x=\dfrac{-11}{9}\)

3 tháng 8 2018

Hiệu giữa SBT mới và cũ là:

353 – 23 = 330

Hiệu số phần bằng nhau là:

3-1 = 2 phần

Số bị trừ cũ là: 330 : 2 = 165

Số trừ cũ là : 165- 23 = 142

a: -3x+4+5x=-10-x

=>2x+4=-x-10

=>3x=-14

hay x=-14/3

b: \(-x+1=-3x-8\)

=>-x+3x=-8-1

=>2x=-9

hay x=-9/2

c: \(8-\left(x-1\right)=10+\left(x+5\right)\)

=>x+15=8-x+1

=>x+15=9-x

=>2x=-6

hay x=-3

d: \(100+\left(x+7\right)-\left(-x+3\right)=8+\left(x+100\right)\)

=>x+7+x-3=8+x

=>2x+4-x-8=0

=>x=4

3 tháng 9 2017

a) \(x^3=-8\)

\(\Rightarrow x=-2\)

b) \(x^{10}-x^8=0\)

\(\Leftrightarrow x^{10}=x^8\)

\(\Rightarrow x=1\)

\(\Rightarrow x=-1\)

\(\Rightarrow x=0\)

c) \(\left(x+1\right)^5-\left(x+1\right)^2=0\)

\(\Leftrightarrow\left(x+1\right)^5=\left(x+1\right)^2\)

\(thay\) x vào thì ta sẽ có giá trị thỏa mãn.

d) \(2^5-4=2^n-1\)

\(\Rightarrow32-4=2^{n-1}\)

\(\Rightarrow28=2^{n-1}\)

\(\leftrightarrow\) \(n\) không có giá trị thỏa mãn

3 tháng 9 2017

a) x3 = -8

=> x = -2

b) x10 - x8 = 0

x10 = x8

=> x = 1 ; x = -1 ; x = 0

a) -3(x-4)+5(x-1)=-7

=>-3x+12+5x-5=-7

=>2x+7=-7

=>2x=-14=>x=-7

b) -4./x-8/+12=0

=>/x-8/=3

=>x-8=3 hoặc -3

(tự tính) 

16 tháng 8 2019

\(a,x-7\frac{5}{8}=1\frac{1}{4}\)

=> \(x-\frac{61}{8}=\frac{5}{4}\)

=> \(x=\frac{5}{4}+\frac{61}{8}\)

=> \(x=\frac{10}{8}+\frac{61}{8}=\frac{71}{8}=8\frac{7}{8}\)

\(b,x+7\frac{5}{8}=9\frac{1}{4}\)

=> \(x+\frac{43}{5}=\frac{37}{4}\)

=> \(x=\frac{37}{4}-\frac{43}{5}=\frac{13}{20}\)

\(c,\left[x-7\frac{5}{8}\right]:\frac{1}{2}=3\)

=> \(\left[x-\frac{61}{8}\right]=3\cdot\frac{1}{2}\)

=> \(\left[x-\frac{61}{8}\right]=\frac{3}{2}\)

=> \(x-\frac{61}{8}=\frac{3}{2}\)

=> \(x=\frac{3}{2}+\frac{61}{8}=\frac{12}{8}+\frac{61}{8}=\frac{73}{8}=9\frac{1}{8}\)

d, \(\frac{x}{1\cdot3}+\frac{x}{3\cdot5}+\frac{x}{5\cdot7}+...+\frac{x}{97\cdot99}=99\)

=> \(\frac{x}{2}\left[\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+...+\frac{2}{97\cdot99}\right]=99\)

=> \(\frac{x}{2}\left[1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{97}-\frac{1}{99}\right]=99\)

=> \(\frac{x}{2}\left[1-\frac{1}{99}\right]=99\)

=> \(\frac{x}{2}\cdot\frac{98}{99}=99\)

=> \(\frac{98x}{198}=99\)

=>  98x = 99 . 198

=> 98x = 19602

=> x = 19602 : 98 = 9801/49

16 tháng 8 2019

a) \(x-7\frac{5}{8}=1\frac{1}{4}\)

=> \(x=\frac{5}{4}+\frac{61}{8}\)

=> \(x=\frac{71}{8}\)

b) \(x+7\frac{5}{8}=9\frac{1}{4}\)

=> \(x=\frac{37}{4}-\frac{61}{8}\)

=> \(x=\frac{13}{8}\)

c) \(\left(x-7\frac{5}{8}\right):\frac{1}{2}=3\)

=> \(x-\frac{61}{8}=3.\frac{1}{2}\)

=> \(x-\frac{61}{8}=\frac{3}{2}\)

=> \(x=\frac{3}{2}+\frac{61}{8}\)

=> \(x=\frac{73}{8}\)

d) \(\frac{x}{1.3}+\frac{x}{3.5}+...+\frac{x}{97.99}=99\)

=> \(x.\frac{1}{2}.\left(\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{97.99}\right)=99\)

=> \(\frac{1}{2}x\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+....+\frac{1}{97}-\frac{1}{99}\right)=99\)

=> \(x\left(1-\frac{1}{99}\right)=99:\frac{1}{2}\)

=> \(x.\frac{98}{99}=198\)

=> \(x=198:\frac{98}{99}=\frac{9801}{49}\)

25 tháng 3 2018

a)\(x-\frac{1}{4}=\frac{5}{8}\)

\(x=\frac{5}{8}+\frac{1}{4}\)

\(x=\frac{7}{8}\)

b)\(\frac{x}{12}=\frac{-1}{24}-\frac{1}{8}\)

\(\frac{x}{12}=\frac{-1}{24}+\frac{-1}{8}\)

\(\frac{x}{12}=\frac{-1}{6}\)

\(x=\frac{-1}{6}\times12\)

\(x=-2\)

25 tháng 3 2018

a)x-1/4=5/8

=>x=5/8+1/4

x=7/8

b) x/12=-1/24-1/8

=>x/12=-1/6

=>x=-2

c).......... Tự làm

8 tháng 7 2019

a)15/8+3/4-5/12

=45+18-10/24

=53/24

b)11/24.12/33+5/6

=11.12/12.2.11.3+5/6

=1/6+5/6

=6/6=1

c)15/8+7/24:5/8

=15/8+7/24.8/5

=15/8+7.8/3.8.5

=15/8+7/15

=đề sai, nếu đúng thì như này

=8/15+7/15

=15/15=1

26 tháng 8 2023

hbhvgvvggvgbhhgvbnj