Giải:
a) \(\left|x\right|=2,5\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=2,5\\x=-2,5\end{matrix}\right.\)
b) \(\left|x\right|=-1,2\)
Vì \(\left|x\right|\ge0\forall x\)
\(\Leftrightarrow x\in\varnothing\)
c) \(\left|x\right|+0,573=2\)
\(\Leftrightarrow\left|x\right|=2-0,573=1,427\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=1,427\\x=-1,427\end{matrix}\right.\)
d) \(\left|x+\dfrac{1}{3}\right|-4=-1\)
\(\Leftrightarrow\left|x+\dfrac{1}{3}\right|=-1+4=3\)
\(\Leftrightarrow\left\{{}\begin{matrix}x+\dfrac{1}{3}=3\\x+\dfrac{1}{3}=-3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=3-\dfrac{1}{3}\\x=-3-\dfrac{1}{3}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2,\left(6\right)\\x=-3,\left(3\right)\end{matrix}\right.\)
e) \(1,5\left|3x-1\right|+4,659=9,103\)
\(\Leftrightarrow1,5\left|3x-1\right|=9,103-4,659=4,444\)
\(\Leftrightarrow\left|3x-1\right|=\dfrac{4,444}{1,5}=2,962\left(6\right)\)
\(\Leftrightarrow\left\{{}\begin{matrix}3x-1=2,962\left(6\right)\\3x-1=-2,962\left(6\right)\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}3x=2,962\left(6\right)-1\\3x=-2,962\left(6\right)-1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}3x=1,962\left(6\right)\\3x=-3,962\left(6\right)\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{1,962\left(6\right)}{3}\\x=\dfrac{-3,962\left(6\right)}{3}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,654\left(2\right)\\x=-1,320\left(8\right)\end{matrix}\right.\)
Chúc bạn học tốt!
P/s: Chú ý câu cuối có nhiều dữ kiện phức tạo nên không thể chắc chắc đúng 100%
Câu a,b,c,d link đây Câu hỏi của (っ◔◡◔)っ ♥ GDragon Huyền Tồ ♥
e) \(\left|3x-1\right|=\left(9,103-4,659\right):\dfrac{3}{2}\)
\(\left|3x-1\right|=4,444:\dfrac{3}{2}\)
\(\left|3x-1\right|=\dfrac{4444}{1000}:\dfrac{3}{2}\)
\(\left|3x-1\right|=\dfrac{4444.2}{1000.3}=\dfrac{4444}{1500}\)
____* \(3x-1=\dfrac{4444}{1500}\)
\(3x=\dfrac{4444}{1500}+1\)
\(3x=\dfrac{5944}{1500}\)
\(x=\dfrac{5944}{4500}=\dfrac{1486}{1125}\)
____* \(3x-1=-\dfrac{4444}{1500}\)
\(3x=-\dfrac{4444}{1500}+1\)
\(x=-\dfrac{2944}{4500}=-\dfrac{736}{1125}\)
P/s: ( Nếu có sai chỗ nào thì sửa giùm nha đang cấn trận đánh bang bang hay rồi nên phải nhanh )
