K
Khách

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

10 tháng 5 2016

\(\frac{2}{6}+\frac{2}{12}+...+\frac{2}{x\left(x+1\right)}=\frac{2013}{2015}\)

\(2\left(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{x\left(x+1\right)}\right)=\frac{2013}{2015}\)

\(2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{2013}{2015}\)

\(2\left(\frac{1}{2}-\frac{1}{x+1}\right)=\frac{2013}{2015}\)

\(\frac{1}{2}-\frac{1}{x+1}=\frac{2013}{2015}:2\)

\(\frac{1}{x+1}=\frac{1}{2}-\frac{2013}{4030}\)

\(\frac{1}{x+1}=\frac{1}{2015}\)

=>x+1=2015

=>x=2014

10 tháng 5 2016

=2014 k mk đi

13 tháng 8 2018

\(2.x=\frac{1+2+3+...+9}{1-2+3-4+5-6+7-8+9}+\frac{25.150-60.5+20.75}{1+2+3+...+99}\)

\(2.x=\frac{\left(9+1\right).9:2}{\left(1-2\right)+\left(3-4\right)+\left(5-6\right)+\left(7-8\right)+9}+\frac{2.3.5^2.\left(5^2-2+2.5\right)}{\left(1+99\right).99:2}\)

\(2.x=\frac{45}{\left(-1\right)+\left(-1\right)+\left(-1\right)+\left(-1\right)+9}+\frac{2.3.5^2.33}{100.99.\frac{1}{2}}\)

\(2x=\frac{45}{5}+\frac{50.99}{50.2.99.\frac{1}{2}}=9+\frac{1}{2.\frac{1}{2}}=9+1=10\)

=> 2x = 10

x = 5

27 tháng 7 2016

\(\frac{x-10}{30}+\frac{x-14}{43}+\frac{x-5}{95}+\frac{x-148}{8}=0\)

\(\Rightarrow\frac{x-10}{30}-3+\frac{x-14}{43}-2+\frac{x-5}{95}-1+\frac{x-148}{8}+6=0\)

\(\Rightarrow\frac{x-100}{30}+\frac{x-100}{43}+\frac{x-100}{95}+\frac{x-100}{8}=0\)

\(\Rightarrow\left(x-100\right)\left(\frac{1}{30}+\frac{1}{43}+\frac{1}{95}+\frac{1}{8}\right)=0\)

mà \(\frac{1}{30}+\frac{1}{43}+\frac{1}{95}+\frac{1}{8}\ne0\)

=> x - 100 = 0 => x = 100

                                                       Vậy x = 100

22 tháng 7 2018

ko biết

25 tháng 5 2016

\(=49\frac{8}{23}-5\frac{7}{32}-14\frac{8}{23}\)

\(=49\frac{8}{23}-14\frac{8}{23}-5\frac{7}{12}\)

\(=35-5\frac{7}{32}\)

\(=35-\frac{167}{32}\)

\(=\frac{1120}{32}-\frac{167}{32}\)

\(=\frac{935}{32}\)

25 tháng 5 2016

\(49\frac{8}{23}-\left(5\frac{7}{32}+14\frac{8}{23}\right)\)

\(=49\frac{8}{23}-5\frac{7}{32}-14\frac{8}{23}\)

\(=\left(49\frac{8}{23}-14\frac{8}{23}\right)-5\frac{7}{32}\)

\(=35-5\frac{7}{32}\)

\(=35-\frac{167}{32}\)

\(=\frac{953}{32}\)

1 tháng 6 2020

\(25\%.x-\frac{1}{5}.x=\frac{-1}{20}\)

\(=>\frac{1}{4}.x-\frac{1}{5}.x=\frac{-1}{20}\)

\(=>x.\left(\frac{1}{4}-\frac{1}{5}\right)=\frac{-1}{20}\)

\(=>x.\frac{1}{20}=\frac{-1}{20}\)

\(=>x=\frac{-1}{20}:\frac{1}{20}\)

\(=>x=-1\)

24 tháng 7 2017

Ta có: \(\left(\frac{3x}{7}+1\right):\left(-4\right)=\frac{-1}{7}\)

\(\Rightarrow\)\(\frac{3x}{7}+1=\frac{-1}{7}.\left(-4\right)\)

\(\Rightarrow\)\(\frac{3x}{7}+1=\frac{4}{7}\)\(\Rightarrow\frac{3x}{7}=\frac{-3}{7}\)

\(\Rightarrow3x=-3\)\(\Rightarrow\)\(x=-1\)

Vậy x=-1

8 tháng 4 2016

-6/12=-1/2

suy ra : x=(-1/2)*8=-4

            y=(-7)/(-1/2)=14

            z=(-1/2)*(-18)=9