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\(\Leftrightarrow\left|\frac{3}{4}\left(x-1\right)\right|-\frac{3}{4}=\frac{3}{4}\Leftrightarrow\frac{3}{4}\left|x-1\right|=2\cdot\frac{3}{4}\Leftrightarrow\left|x-1\right|=2\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=2\Rightarrow x=3\\x-1=-2\Rightarrow x=-1\end{cases}}\)
PT có 2 nghiệm là -1 và 3.
\(\left|2+3x\right|=\left|4x-3\right|\)
\(\Leftrightarrow\orbr{\begin{cases}2+3x=4x-3\\2+3x=3-4x\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=5\\x=\frac{1}{7}\end{cases}}\)
Vậy \(x\in\left\{\frac{1}{7};5\right\}\)
\(\left|\frac{3}{2}x+\frac{1}{2}\right|=\left|4x-1\right|\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{3}{2}x+\frac{1}{2}=4x-1\\\frac{3}{2}x+\frac{1}{2}=1-4x\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{3}{5}\\x=\frac{1}{11}\end{cases}}\)
Vậy \(x\in\left\{\frac{1}{11};\frac{3}{5}\right\}\)
\(\left|\frac{5}{4}x-\frac{7}{2}\right|-\left|\frac{5}{8}x+\frac{3}{5}\right|=0\)
\(\Leftrightarrow\left|\frac{5}{4}x-\frac{7}{2}\right|=\left|\frac{5}{8}x+\frac{3}{5}\right|\)
Giải tiếp tương tự
Sau đó giải tiếp câu còn lại
a, 2 -|3/2x -1/4| =|-1,25 |
=>2 -|3/2x-1/4 | = 1,25
=> |3/2x -1/4| = 2-1,25
=> 3/2x -1/4 = 0,75 hoac 3/2x -1/4 = -0,75
=> 3/2 x = 3/4 -1/4 hoac 3/2 x = -3/4 -1/4
=> 3/2 x = 1/2 hoac 3/2 x = -1
=> x = 1/2 :3/2 hoac x = -1 : 3/2
=> x = 1/3 hoac x = -2/3
vay
cảm ơn nhé nhưng mk bt làm òi
mk chỉ đăng câu hỏi cho vv thui
A) 5/4+x=2/3
B) -x-2=5/4
C)4x+1/3=3/2
Đ) 1/3-2/5+3x=3/4
E) 3x+7+2x=4x-3
G) 3x(2x-3)-2x(3x-4)=15
H) x^2-x=0
a) \(x=-\frac{7}{12}\)
b) \(x=-\frac{13}{4}\)
c) \(x=\frac{7}{24}\)
d) \(x=\frac{49}{180}\)
e) \(x=-10\)
g) \(x=15\)
h) \(\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
Ta có \(P\left(x\right)=-4x+3=0\Leftrightarrow x=\dfrac{3}{4}\rightarrow chonC\)
\(\text{|}\frac{3}{4}x-\frac{3}{4}\text{|}-\frac{3}{4}=\text{|}-\frac{3}{4}\text{|}\)
<=>\(\text{|}\frac{3}{4}x-\frac{3}{4}\text{|}-\frac{3}{4}=\frac{3}{4}\text{ }\)
<=>\(\text{|}\frac{3}{4}x-\frac{3}{4}\text{|}=\frac{3}{4}+\frac{3}{4}\text{ }\)
<=>\(\text{|}\frac{3}{4}x-\frac{3}{4}\text{|}=\frac{3}{2}\)
<=>\(\orbr{\begin{cases}\text{ }\frac{3}{4}x-\frac{3}{4}=\frac{3}{2}\\\frac{3}{4}x-\frac{3}{4}=-\frac{3}{2}\end{cases}}\)
<=>\(\orbr{\begin{cases}\text{ }\frac{3}{4}x=\frac{3}{2}+\frac{3}{4}\\\frac{3}{4}x=-\frac{3}{2}+\frac{3}{4}\end{cases}}\)
<=>\(\orbr{\begin{cases}\text{ }\frac{3}{4}x=\frac{9}{4}\\\frac{3}{4}x=-\frac{3}{4}\end{cases}}\)
<=>\(\orbr{\begin{cases}\text{ }x=\frac{9}{4}:\frac{3}{4}=3\\x=-\frac{3}{4}:\frac{3}{4}=-1\end{cases}}\)
\(\left|\frac{3}{4}x-\frac{3}{4}\right|-\frac{3}{4}=\left|\frac{-3}{4}\right|\)
\(\Rightarrow\left|\frac{3}{4}x-\frac{3}{4}\right|-\frac{3}{4}=\frac{3}{4}\)
\(\Rightarrow\left|\frac{3}{4}x-\frac{3}{4}\right|=\frac{3}{2}\)
\(\Rightarrow\orbr{\begin{cases}\frac{3}{4}x-3=\frac{3}{2}\\\frac{3}{4}x-3=\frac{-3}{2}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}\frac{3}{4}x=\frac{9}{4}\\\frac{3}{4}x=\frac{-3}{4}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=3\\x=-1\end{cases}}\)