\(\dfrac{25}{x}\)=-1,25

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\(\Leftrightarrow\dfrac{x^2+25}{x}=\dfrac{-5}{4}\)

\(\Leftrightarrow4x^2+5x+100=0\)

hay \(x\in\varnothing\)

a) \(25\%x+x=-1,25\\ < =>\dfrac{125}{100}x=-1,25\\ =>x=\dfrac{-1,25}{125}=-0,01\)

b) \(75\%x+x:\dfrac{4}{5}=-2010\\ < =>\dfrac{75}{100}x+\dfrac{5}{4}x=-2010\\ < =>\dfrac{75}{100}x+\dfrac{125}{100}x=-2010\\ < =>2x=-2010\\ =>x=\dfrac{-2010}{2}=-1005\)

c) \(25\%x+0,5x-\dfrac{x}{3}=-26\\ < =>\dfrac{1}{4}x+\dfrac{1}{2}x-\dfrac{1}{3}x=-26\\ < =>\dfrac{5}{12}x=-26\\ =>x=\dfrac{-26}{\dfrac{5}{12}}=-62\dfrac{2}{5}\)

a: =>2/3x=1/10+1/2=1/10+5/10=6/10=3/5

=>x=3/5:2/3=3/5x3/2=9/10

b: \(\Leftrightarrow x\cdot2.8-50=34\)

=>2,8x=84

=>x=30

c: \(\Leftrightarrow\dfrac{1}{6}x=\dfrac{5}{12}\)

hay x=5/2

d: \(\Leftrightarrow\left|2x-\dfrac{3}{4}\right|=\dfrac{17}{2}+\dfrac{7}{4}=\dfrac{41}{4}\)

=>2x-3/4=41/4 hoặc 2x-3/4=-41/4

=>2x=44/4=11 hoặc 2x=-19/2

=>x=11/2 hoặc x=-19/4

19 tháng 7 2017

\(\left(x+\dfrac{1}{5}\right)^2+\dfrac{17}{25}=\dfrac{26}{25}\Leftrightarrow\left(x+\dfrac{1}{5}\right)^2=\dfrac{26}{25}-\dfrac{17}{25}=\dfrac{9}{25}\) \(\Leftrightarrow\left\{{}\begin{matrix}x+\dfrac{1}{5}=\dfrac{3}{5}\\x+\dfrac{1}{5}=\dfrac{-3}{5}\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{3}{5}-\dfrac{1}{5}\\x=\dfrac{-3}{5}-\dfrac{1}{5}\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{2}{5}\\x=\dfrac{-4}{5}\end{matrix}\right.\)

vậy \(x=\dfrac{2}{5};x-\dfrac{-4}{5}\)

16 tháng 5 2018

3) \(\left(x+\dfrac{1}{5}\right)^2\) + \(\dfrac{17}{25}\) = \(\dfrac{26}{25}\)

=> \(\left(x+\dfrac{1}{5}\right)^2\) = \(\dfrac{26}{25}\) - \(\dfrac{17}{25}\)

=> \(\left(x+\dfrac{1}{5}\right)^2\) = \(\dfrac{9}{25}\)

=> \(\left(x+\dfrac{1}{5}\right)^2\) = \(\dfrac{3}{5}.\dfrac{3}{5}\)

=> \(\left(x+\dfrac{1}{5}\right)^2\) = \(\left(\dfrac{3}{5}\right)^2\)

=> \(x\) + \(\dfrac{1}{5}\) = \(\dfrac{3}{5}\)

=> \(x\) = \(\dfrac{3}{5}\) - \(\dfrac{1}{5}\)

=> \(x\) = \(\dfrac{2}{5}\)

16 tháng 5 2018

4) -1\(\dfrac{5}{27}\) - \(\left(3x-\dfrac{7}{9}\right)^3\) = \(\dfrac{-24}{27}\)

=> \(\dfrac{-32}{27}\) - \(\left(3x-\dfrac{7}{9}\right)^3\) = \(\dfrac{-8}{9}\)

=> \(\left(3x-\dfrac{7}{9}\right)^3\) = \(\dfrac{-32}{27}\) - \(\dfrac{-8}{9}\)

=> \(\left(3x-\dfrac{7}{9}\right)^3\) = \(\dfrac{-8}{27}\)

=> \(\left(3x-\dfrac{7}{9}\right)^3\) = \(\dfrac{-2}{3}\) . \(\dfrac{-2}{3}\) . \(\dfrac{-2}{3}\)

=> \(\left(3x-\dfrac{7}{9}\right)^3\) = \(\left(\dfrac{-2}{3}\right)^3\)

=> \(3x-\dfrac{7}{9}=\dfrac{-2}{3}\)

=> \(3x=\dfrac{-2}{3}+\dfrac{7}{9}\)

=> \(3x=\dfrac{1}{9}\)

=> \(x=\dfrac{1}{9}:3\)

=> \(x=\dfrac{1}{27}\)

5 tháng 7 2017

a) \(x-25\%x=0,5\)

\(\dfrac{3}{4}x=0,5\)

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

b) \(\left(50\%x+5\dfrac{1}{4}\right).\dfrac{-2}{3}=2\dfrac{5}{6}\)

\(\left(0,5x+\dfrac{21}{4}\right)=\dfrac{-17}{4}\)

\(0,5x=\dfrac{-19}{2}\)

x = -19

c) \(\left(1\dfrac{1}{3}-25\%-\dfrac{5}{12}\right)+2x=1,5:\dfrac{3}{5}\)

\(\dfrac{2}{3}+2x=\dfrac{5}{2}\)

\(2x=\dfrac{11}{6}\)

x= \(\dfrac{11}{12}\)

2 tháng 8 2017

a) \(\left(\dfrac{1}{3}-\dfrac{1}{2}\right)^{x-1}=\dfrac{1}{36}\) \(\Leftrightarrow\left(\dfrac{-1}{6}\right)^{x-1}=\dfrac{1}{36}\)

\(\Leftrightarrow\left(\dfrac{-1}{6}\right)^{x-1}=\left(\dfrac{1}{6}\right)^2\)

\(\Leftrightarrow x-1=2\Rightarrow x=3\)

b) \(\dfrac{25}{5^x}=\dfrac{1}{125}\Leftrightarrow\dfrac{25}{5^x}=\dfrac{25}{3125}\Leftrightarrow\dfrac{25}{5^x}=\dfrac{25}{5^5}\Rightarrow x=5\)

2 tháng 8 2017

a) \(\left(\dfrac{1}{3}-\dfrac{1}{2}\right)^{x-1}=\dfrac{1}{36}\Leftrightarrow\left(-\dfrac{1}{6}\right)^{x-1}=\left(-\dfrac{1}{6}\right)^2\)

\(\Leftrightarrow x-1=2\Rightarrow x=2+1=3\)

b) \(\dfrac{25}{5^x}=\dfrac{1}{125}\Leftrightarrow\dfrac{25}{5^x}=\dfrac{25}{3125}\Leftrightarrow\dfrac{25}{5^x}=\dfrac{25}{5^5}\Rightarrow x=5\)

Giờ mới đúng thật nè

26 tháng 3 2018

a)

\(x+\dfrac{1}{3}=\dfrac{7}{26}\\ x=\dfrac{7}{26}-\dfrac{1}{3}=\dfrac{21}{78}-\dfrac{26}{78}=-\dfrac{5}{78}\)

b)

\(\dfrac{x}{150}=\dfrac{5}{6}\cdot\dfrac{-7}{25}\\ \dfrac{x}{150}=\dfrac{-7}{30}\\ x\cdot30=-150\cdot7\\ x=\dfrac{-150\cdot7}{30}=-35\)

3 tháng 3 2018

Các bạn ơi giúp mk với thanghoayeucác bạn ơi mk sắp phải đi học rồi giúp mk vớikhocroi

3 tháng 3 2018

các bạn có thương mk ko

bucminhgianroikhocroi

13 tháng 7 2017

1. ta có: \(\sqrt{\dfrac{4}{9}-\sqrt{\dfrac{25}{36}}}=\sqrt{\dfrac{4}{9}-\dfrac{5}{6}}=\sqrt{-\dfrac{7}{18}}\)

\(-\dfrac{7}{18}\) là số âm \(\Rightarrow\) Bài toán không có kết quả.

2. Ta có:

\(\left(x-1\right)^2=\dfrac{9}{16}\)

\(\Rightarrow\left(x-1\right)^2=\left(\dfrac{3}{4}\right)^2\)

\(\Rightarrow x-1=\dfrac{3}{4}\)

\(\Rightarrow x=\dfrac{3}{4}+1\)

\(\Rightarrow x=1\dfrac{3}{4}\)

Vậy \(x=1\dfrac{3}{4}\)

Câu 2 không phải toán lớp 6 mà bạn.

Ta có: \(x=\sqrt{x}\)

\(\Rightarrow x=1\)

Vậy \(x=1\)

13 tháng 7 2017

Bạn Trần Đăng Nhất làm thiếu nha:

\(x=\sqrt{x}=>x^2=\left(\sqrt{x}\right)^2\)

\(=>x^2=x=>x^2-x=0\)

\(=>x\left(x-1\right)=0\)

\(=>\left[{}\begin{matrix}x=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)

Vậy có 2 giá trị của x là 0 và 1..

CHÚC BẠN HỌC TỐT.....