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a) TH1: \(x< 2,5\) , ta có:
\(2,5-x=1,3\)
\(x=2,5-1,3=1,2\)
TH2: \(x\ge2,5\), ta có:
\(x-2,5=1,3\)
\(x=1,3+2,5=3,8\)
Vậy \(\orbr{\begin{cases}x=1,2\\x=3,8\end{cases}}\)
b) \(1,6-\left|x-0,2\right|=0\)
\(\Rightarrow\left|x-0,2\right|=1,6\)
TH1: \(x< 0,2\) ta có:
\(0,2-x=1,6\Rightarrow x=0,2-1,6=-1,4\)
TH2: \(x\ge0,2\) ta có:
\(x-0,2=1,6\Rightarrow x=1,6+0,2=1,8\)
Vậy \(\orbr{\begin{cases}x=-1,4\\x=1,8\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
2 cái đầu tính bình thường nha lớp 6 rồi kg tính đc thì ...cx cạn lời lun
còn 2 cái đằng sau thì suy ra cộng trừ rồi giải 2 trường hợp
![](https://rs.olm.vn/images/avt/0.png?1311)
Lời giải:
a)
\(2x+27=-11\)
\(2x=-11-27=-38\)
\(x=-38:2=-19\)
b)
\(3-(17-x)=-12\)
\(17-x=3-(-12)=15\)
\(x=17-15\)
\(x=2\)
c)
\(x+30\text{%}=-1,3\)
\(x=-1,3-30\text{%}=-1,3-0,3\)
\(x=-1,6\)
d)
\(x:\frac{-3}{5}=\frac{-10}{21}\)
\(x=\frac{-10}{21}\times \frac{-3}{5}\)
\(x=\frac{2}{7}\)
e)
\((x:4):\frac{1}{3}=-2,5\)
\(x:4=-2,5\times \frac{1}{3}=\frac{-5}{6}\)
\(x=-\frac{5}{6}\times 4\)
\(x=\frac{-10}{3}\)
f)
\(\frac{5}{4}:(7:x)=13\)
\(7:x=\frac{5}{4}:13=\frac{5}{52}\)
\(x=7:\frac{5}{52}\)
\(x=\frac{364}{5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
tìm x , biết :
a . 1,5 . x + 2,5 = 1
\(1,5.x=-1,5\)
\(x=\dfrac{-1,5}{1,5}\)
\(x=-1\)
b . ( 0,5 . x - 1,3 ) : 0,5 = -1,7
\(0,5.x-1,3=-0,85\)
\(0,5x=-2,15\)
\(x=\dfrac{-2,15}{0,5}\)
\(x=-4,3\)
c . 1,75 .x - 1,5 . x = 0,84
\(x\left(1,75-1,5\right)=0,84\)
\(x.0,25=0,84\)
\(x=3,36\)
d . x + 75% . x + 125% = 1
\(x+\dfrac{75}{100}.x+\dfrac{125}{100}=1\)
\(x+\dfrac{3}{4}.x+\dfrac{5}{4}=1\)
\(x+\dfrac{3}{4}.x=-\dfrac{1}{4}\)
\(x.\left(1+\dfrac{3}{4}\right)=-\dfrac{1}{4}\)
\(x.1,75=-\dfrac{1}{4}\)
\(x=-\dfrac{1}{7}\)
e . x - 25% .x + 75% = 1
\(x-\dfrac{25}{100}.x+\dfrac{75}{100}=1\)
\(x-\dfrac{1}{4}.x+\dfrac{3}{4}=1\)
\(x-\dfrac{1}{4}.x=\dfrac{1}{4}\)
\(x.\left(1-\dfrac{1}{4}\right)=\dfrac{1}{4}\)
\(x.\dfrac{3}{4}=\dfrac{1}{4}\)
\(x=\dfrac{1}{3}\)
f . | x - 1,5 | = 2,37
TH1 : \(x-1,5=2,37\)
\(x=2,37+1,5\)
\(x=3,87\)
TH2 : \(x-1,5=-2,37\)
\(x=-2,37+1,5\)
\(x=-0,87\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\left|3,5-x\right|=1,3\)
\(\Rightarrow\left[{}\begin{matrix}3,5-x=1,3\\3,5-x=-1,3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=3,5-1,3\\x=3,5+1,3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2,2\\x=4,8\end{matrix}\right.\)
b) \(1,6-\left|x-0,2\right|=0,4\)
\(\Rightarrow\left|x-0,2\right|=1,2\)
\(\Rightarrow\left[{}\begin{matrix}x-0,2=1,2\\x-0,2=-1,2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=1,2+0,2\\x=-1,2+0,2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=1,4\\x=-1\end{matrix}\right.\)
\(\left|3,5-x\right|=1,3\)
\(\Rightarrow\left[{}\begin{matrix}3,5-x=1,3\Rightarrow x=2,2\\3,5-x=-1,3\Rightarrow x=4,8\end{matrix}\right.\)
\(1,6-\left|x-0,2\right|=0,4\)
\(\Rightarrow\left|x-0,2\right|=1,2\)
\(\Rightarrow\left[{}\begin{matrix}x-0,2=1,2\Rightarrow x=1,4\\x-0,2=-1,2\Rightarrow x=-1\end{matrix}\right.\)
\(\left|x-1,5\right|+\left|2,5-x\right|=0\)
\(\left\{{}\begin{matrix}\left|x-1,5\right|\ge0\\\left|2,5-x\right|\ge0\end{matrix}\right.\)
\(\Rightarrow\left|x-1,5\right|+\left|2,5-x\right|\ge0\)
Dấu "=" xảy ra khi:
\(\left\{{}\begin{matrix}\left|x-1,5\right|=0\Rightarrow x=1,5\\\left|2,5-x\right|=0\Rightarrow x=2,5\end{matrix}\right.\)
\(1,5\ne2,5\Rightarrow x\in\varnothing\)
giup minh lam nha