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3) a) \(\left|x\right|=\dfrac{1}{2}\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{-1}{2}\end{matrix}\right.\) vậy \(x=\dfrac{1}{2};x=\dfrac{-1}{2}\)
b) \(\left|x\right|=3,12\Leftrightarrow\left[{}\begin{matrix}x=3,12\\x=-3,12\end{matrix}\right.\) vậy \(x=3,12;x=-3,12\)
c) \(\left|x\right|=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-0\end{matrix}\right.\) \(\Rightarrow x=0\) vậy \(x=0\)
d) th1: \(\left|x\right|=2\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\)
th2: \(\left|x\right|=\dfrac{1}{7}\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{7}\\x=\dfrac{-1}{7}\end{matrix}\right.\)
vậy \(x=2;x=-2;x=\dfrac{1}{7};x=\dfrac{-1}{7}\)
/-3/ = /3/
/1,3/ > /0,5/
/-100/ > /20/
bài 2: tìm x
/x/ = \(\frac{1}{2}\)
\(x=\orbr{\begin{cases}\frac{1}{2}\\\frac{-1}{2}\end{cases}}\)
/x/ = 3,12
\(x=\orbr{\begin{cases}3,12\\-3,12\end{cases}}\)
/x/ = 0
=> x = 0
/x/ = \(2\frac{1}{7}\)
=> /x/ = \(\frac{15}{7}\)
=> \(x=\orbr{\begin{cases}\frac{15}{7}\\\frac{-15}{7}\end{cases}}\)
chúc bn học tốt
\(\left|x\right|=\frac{1}{2}\)
\(\Rightarrow x=\pm\frac{1}{2}\)
\(\left|x\right|=3,12\)
\(\Rightarrow x=\pm3,12\)
\(\left|x\right|=0\)
\(\Rightarrow x=0\)
\(\left|x\right|=2\frac{1}{7}\)
\(\Rightarrow x=\pm2\frac{1}{7}\)
1, a/ \(\left|x\right|=\dfrac{1}{2}\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{-1}{2}\end{matrix}\right.\)
Vậy .............
b/ \(\left|x\right|=3,12\Leftrightarrow\left[{}\begin{matrix}x=3,12\\x=-3,12\end{matrix}\right.\)
Vậy ...........
c/ \(\left|x\right|=0\Leftrightarrow x=0\)
Vậy ..........
d/ \(\left|x\right|=2\dfrac{1}{7}\) \(\Leftrightarrow\left[{}\begin{matrix}x=2\dfrac{1}{7}\\x=-2\dfrac{1}{7}\end{matrix}\right.\)
Vậy ..............
2, a/ \(\left|x\right|=2,1\Leftrightarrow\left[{}\begin{matrix}x=2,1\\x=-2,1\end{matrix}\right.\)
Vậy ...........
b/ \(\left|x\right|=\dfrac{17}{9}\) ; \(x< 0\)
\(\Leftrightarrow x=-\dfrac{17}{9}\)
Vậy ..........
c/ \(\left|x\right|=1\dfrac{2}{5}\Leftrightarrow\left[{}\begin{matrix}x=1\dfrac{2}{5}\\x=-1\dfrac{2}{5}\end{matrix}\right.\)
Vậy ...........
d/ \(\left|x\right|=0,35\) ; \(x>0\Leftrightarrow x=0,35\)
3, a/ \(\left|x-1,7\right|=2,3\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1,7=2,3\\x-1,7=-2,3\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-0,6\end{matrix}\right.\)
Vậy ...........
b/ \(\left|x+\dfrac{3}{4}\right|-\dfrac{1}{3}=0\)
\(\Leftrightarrow\left|x+\dfrac{3}{4}\right|=\dfrac{1}{3}\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{3}{4}=\dfrac{1}{3}\\x+\dfrac{3}{4}=-\dfrac{1}{3}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-5}{12}\\x=-\dfrac{13}{12}\end{matrix}\right.\)
Vậy ...........
Bài 1 :
\(\frac{x-1}{x-5}=\frac{6}{7}\Leftrightarrow7x-7=6x-30\)
\(\Leftrightarrow x=-23\)
\(\frac{x-2}{x-1}=\frac{x+4}{x+7}\)ĐK : \(x\ne1;-7\)
\(\Leftrightarrow\left(x-2\right)\left(x+7\right)=\left(x+4\right)\left(x-1\right)\)
\(\Leftrightarrow x^2+5x-14=x^2+3x-4\)
\(\Leftrightarrow2x-10=0\Leftrightarrow x=5\)
\(\left|x\right|=\frac{1}{2}\)
\(\Rightarrow x=\frac{1}{2}\)hoặc \(-\frac{1}{2}\)
\(\left|x\right|=3,12\)
\(\Rightarrow x=3,12\)hoặc \(-3,12\)
\(\left|x\right|=0\)
\(\Rightarrow x=0\)
\(\left|x\right|=\frac{2}{\frac{1}{7}}=14\)
\(\Rightarrow x=14\)hoặc \(-14\)
-1/2
-78/25
0
-15/17