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2)
2.|x-1|+1/2=5/4
2.|x-1|=5/4-1/2
2.|x-1|=3/4
=> 2.x-1=3/4
=>x-1=3/4:2
x-1=3/8
x=3/8+1
x=11/8
\(\frac{x-2}{3}=\frac{2x+1}{4}\)
\(\Rightarrow\left(x-2\right).4=\left(2x+1\right).3\)
\(\Rightarrow4x-8=6x+3\)
\(\Rightarrow4x-6x=3+8\)
\(\Rightarrow-2x=11\)
\(\Rightarrow x=-\frac{11}{2}\)
Học tốt
Ta có : \(2\frac{x}{7}=\frac{2.7+x}{7}=\frac{14+x}{7}\)
Nên : \(\frac{14+x}{7}=\frac{2x+9}{7}\)
<=> 14 + x = 2x + 9
=> 14 - 9 = 2x - x
=> x = 5
Vậy x = 5
14+x7 =2x+97
<=> 14 + x = 2x + 9
=> 14 - 9 = 2x - x
=> x = 5
Vậy x = 5
a) \(\frac{2}{5}:\left(2x+\frac{3}{4}\right)=-\frac{7}{10}\)
=> \(2x+\frac{3}{4}=-\frac{7}{10}:\frac{2}{5}\)
=> \(2x+\frac{3}{4}=-\frac{7}{4}\)
=> \(2x=\frac{-7}{4}-\frac{3}{4}\)
=> \(2x=-\frac{5}{2}\)
=> \(x=\frac{-5}{2}:2\)
=> \(x=\frac{-5}{4}\)
b) \(\frac{x+1}{3}=\frac{2-x}{2}\)
\(\Rightarrow2\left(x+1\right)=3\left(2-x\right)\)
\(\Rightarrow2x+2=6-3x\)
\(\Rightarrow2x-3x=6-2\)
\(\Rightarrow-x=4\)
\(\Rightarrow x=4\)
c) \(\left|x-\frac{3}{5}\right|.\frac{1}{2}-\frac{1}{5}=0\)
\(\Rightarrow\left|x-\frac{3}{5}\right|.\frac{1}{2}=\frac{1}{5}\)
\(\Rightarrow\left|x-\frac{3}{5}\right|=\frac{1}{5}:\frac{1}{2}\)
\(\Rightarrow\left|x-\frac{3}{5}\right|=\frac{2}{5}\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{3}{5}=\frac{2}{5}\\x-\frac{3}{5}=-\frac{2}{5}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=\frac{3}{5}+\frac{2}{5}\\x=\frac{3}{5}+-\frac{2}{5}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=1\\x=\frac{1}{5}\end{cases}}\)
Vậy \(\orbr{\begin{cases}x=1\\x=\frac{1}{5}\end{cases}}\)
d) \(x^2-4x=0\)
Ta có : \(x^2-4x=0\)
\(\Rightarrow xx-4x=0\)
\(\Rightarrow x\left(x-4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-4=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=0+4\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=4\end{cases}}\)
Vậy \(\orbr{\begin{cases}x=0\\x=4\end{cases}}\)
a. \(0,5x-\frac{1}{3}x=\frac{1}{3}\)
\(\left(0,5-\frac{1}{3}\right)x=\frac{1}{3}\)
\(\frac{1}{6}x=\frac{1}{3}\)
\(x=\frac{1}{3}:\frac{1}{6}\)
\(x=2\)
b. \(x:3\frac{1}{2}=-1,5\)
\(x=-1,5\times3\frac{1}{2}\)
\(x=-5,25\)
c. \(1,5x=\frac{11}{5}\)
\(x=\frac{22}{15}\)
Ta có :
\(\left(x+\frac{1}{2}\right)\left(\frac{2}{3}-2x\right)=0\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x+\frac{1}{2}=0\\\frac{2}{3}-2x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{-1}{2}\\2x=\frac{2}{3}\end{cases}}}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=\frac{-1}{2}\\x=\frac{2}{3}.\frac{1}{2}\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{-1}{2}\\x=\frac{1}{3}\end{cases}}}\)
Vậy \(x=\frac{-1}{2}\) hoặc \(x=\frac{1}{3}\)
Chúc bạn học tốt ~