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16 tháng 1 2019

x = 2,075

5 tháng 8 2019

Bài 2:

a,\(|x-2|-3=-7\)

\(\Rightarrow|x-2|=-4\)

\(\Rightarrow x\in\varnothing\)

b,\(|x-5|+3=8\)

\(\Rightarrow|x-5|=5\)

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

\(\Rightarrow\left[{}\begin{matrix}x=10\\x=0\end{matrix}\right.\)

c,\(|x+3|-2+2x=5\)

\(\Rightarrow|x+3|+2x=7\)

\(\Rightarrow\left[{}\begin{matrix}x+3=2x=7,x+3\ge0\\-\left(x+3\right)+2x=7,x+3< 0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=\frac{4}{3}\\x=10,x< -3\end{matrix}\right.,x\ge-3\)

\(\Rightarrow\left[{}\begin{matrix}x=\frac{4}{3}\\x\in\varnothing\end{matrix}\right.\)

d,\(|x-3,1|+|y-1,2|=0\)

Thay y =0

\(\Rightarrow|x-3,1|+|0-1,2|=0\)

\(\Rightarrow|x-3,1|+|-1,2|=0\)

\(\Rightarrow|x-3,1|+1,2=0\)

\(\Rightarrow|x-3,1|=-1,2\)

\(\Rightarrow x\in\varnothing\)

5 tháng 8 2019

Bài 3:

a,(-2,7)+9-3,5)-1,2(-2)

=>-2,7-3,5+2,4

=>-3,8

b, (-2,3)(-0,4)-(-3,1)(-2,1)-13,2

=>0,92+3,1(-2,1)-13,2

=>0,92-6,51-13,2

=-18,79

27 tháng 7 2017

  \(1,2:\frac{3}{5}+\left(1\frac{1}{15}-\frac{8}{15}\right)x2\frac{2}{4}\)

\(=\frac{6}{5}x\frac{5}{3}+\left(\frac{16}{15}-\frac{8}{15}\right)x\frac{10}{4}\)

 \(=2+\frac{8}{15}x\frac{10}{4}=2+\frac{2}{3}\)

 \(=2\frac{2}{3}\)

27 tháng 7 2017

\(1,2:\frac{3}{5}+\left(1\frac{1}{15}-\frac{8}{15}\right)\cdot2\frac{2}{4}\)

\(=\frac{6}{5}\cdot\frac{5}{3}+\left(\frac{16}{15}-\frac{8}{15}\right)\cdot\frac{10}{4}\)

\(=\frac{30}{15}+\frac{8}{15}\cdot\frac{10}{4}\)

\(=\frac{30}{15}+\frac{80}{60}=\frac{200}{60}\)

a) Ta có: \(-3\dfrac{1}{4}\cdot x-75\%+\dfrac{3x}{2}=-1.2:\dfrac{-9}{10}-1\dfrac{1}{4}\)

\(\Leftrightarrow\dfrac{-13x}{4}-\dfrac{3}{4}+\dfrac{3x}{2}=\dfrac{-6}{5}\cdot\dfrac{10}{-9}-\dfrac{5}{4}\)

\(\Leftrightarrow\dfrac{-13x-3+6x}{4}=\dfrac{4}{3}-\dfrac{5}{4}\)

\(\Leftrightarrow\dfrac{-7x-3}{4}=\dfrac{1}{12}\)

\(\Leftrightarrow-7x-3=\dfrac{1}{3}\)

\(\Leftrightarrow-7x=\dfrac{10}{3}\)

hay \(x=-\dfrac{10}{21}\)

b) Ta có: \(\dfrac{5}{3}+\dfrac{5}{15}+\dfrac{5}{35}+...+\dfrac{5}{x\left(x+2\right)}=2\dfrac{8}{17}\)

\(\Leftrightarrow\dfrac{5}{2}\left(\dfrac{2}{3}+\dfrac{2}{15}+\dfrac{2}{35}+...+\dfrac{2}{x\left(x+2\right)}\right)=2\dfrac{8}{17}\)

\(\Leftrightarrow\dfrac{5}{2}\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+...+\dfrac{1}{x}-\dfrac{1}{x+2}\right)=2+\dfrac{8}{17}\)

\(\Leftrightarrow\left(1-\dfrac{1}{x+2}\right)=\dfrac{42}{17}:\dfrac{5}{2}\)

\(\Leftrightarrow\dfrac{x+1}{x+2}=\dfrac{42}{17}\cdot\dfrac{2}{5}=\dfrac{84}{85}\)

\(\Leftrightarrow85x+85=84x+168\)

\(\Leftrightarrow x=83\)

3 tháng 12 2017

a) \(\left(\frac{-1}{2}\right)+\left|\frac{-7}{6}\right|+\left(\frac{-7}{8}\right)=\frac{-1}{2}+\frac{7}{6}+\left(\frac{-7}{8}\right)=\frac{-5}{24}\)

b) \(\frac{3}{2}.\left|2+x\right|=\frac{5}{4}\)

\(\Rightarrow\left|2+x\right|=\frac{5}{4}:\frac{3}{2}=\frac{5}{6}\)

\(\Rightarrow2+x=\pm\frac{5}{6}\)

\(\Rightarrow\orbr{\begin{cases}2+x=\frac{5}{6}\Rightarrow x=\frac{5}{6}-2=\frac{-7}{6}\\2+x=\frac{-5}{6}\Rightarrow x=\frac{-5}{6}-2=\frac{-17}{6}\end{cases}}\)

Vậy \(x=\left\{\frac{-7}{6};\frac{-17}{6}\right\}\)

c) Ta có: \(\frac{3,7}{x}=\frac{-5}{1,2}\Rightarrow3,7.1,2:\left(-5\right)=x\)

         \(\Rightarrow x=-0,888\)

d) Tự làm

3 tháng 12 2017

A=(\(\frac{-1}{2}\))+|\(\frac{-7}{6}\)|+(\(\frac{-7}{8}\))

=(\(\frac{-1}{2}\))+\(\frac{-7}{6}\)+(\(\frac{-7}{8}\))

=\(\frac{2}{3}\)+(\(\frac{-7}{8}\))

=\(\frac{-5}{24}\)

Vậy x=\(\frac{-5}{24}\)

B=\(\frac{3}{2}\)x|2+x|=\(\frac{5}{4}\)

=|2+x|=\(\frac{5}{4}\):\(\frac{3}{2}\)

=\(\orbr{\begin{cases}2+x=\frac{5}{6}\\2+x=\frac{-5}{6}\end{cases}}\)

=\(\orbr{\begin{cases}x=\frac{5}{6}-2\\x=\frac{-5}{6}-2\end{cases}}\)

=\(\orbr{\begin{cases}x=-1\frac{1}{6}\\x=-2\frac{5}{6}\end{cases}}\)

Vậy x\(\in\){\(-1\frac{1}{6}\);\(-2\frac{5}{6}\)}

27 tháng 10 2022

2A = 1 + \(\dfrac{1}{2}\)+\(\dfrac{1}{2^2}\)+\(\dfrac{1}{2^3}\)+...+\(\dfrac{1}{2^{99}}\)

2A - A= 1- \(\dfrac{1}{2^{100}}\)

A= 1 

 

29 tháng 4 2022

Đáp án C

Hãy tick cho tui

29 tháng 4 2022

C. 2