\(\Rightarrow\left|2x-1\right|=\left|x+\dfrac{1}{3}\right|\)
\(\Rightarrow\left[{}\begin{matrix}2x-1=x+\dfrac{1}{3}\\2x-1=-x-\dfrac{1}{3}\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{4}{3}\\x=\dfrac{2}{9}\end{matrix}\right.\)
\(\Rightarrow\left|2x-1\right|=\left|x+\dfrac{1}{3}\right|\)
\(\Rightarrow\left[{}\begin{matrix}2x-1=x+\dfrac{1}{3}\\2x-1=-x-\dfrac{1}{3}\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{4}{3}\\x=\dfrac{2}{9}\end{matrix}\right.\)
Bài 4 : Tìm x,y biết :
a)\(3\dfrac{1}{4}-\dfrac{1}{4}\left|x-0,25\right|=\dfrac{1}{4}\)
b)\(\left|x-3\right|=-4\)
c)\(\left|x-\dfrac{1}{2}\right|+1=0\)
d)\(\left|x-\dfrac{1}{5}\right|=\left|\dfrac{3}{4}-2x\right|\)
e)\(\left|x+2\right|3=0\)
f)\(\left|2x-1\right|-\left|x+2\right|=0\)
g)\(\left|x+2\right|+\left|y-1\right|=0\)
h)\(\left|2x\right|+\left|y+\dfrac{1}{4}\right|=0\)
Tìm \(x\)\(\in\)\(Q\):
\(a\)\()\) \(|0,5.x-2|-|x+\dfrac{2}{3}|=0\)
\(b)\) \(2x-|x+1|=\dfrac{-1}{2}\)
[\(\dfrac{1}{2}\)x-3].[\(\dfrac{2}{3}\)x+\(\dfrac{1}{2}\)]=0
|2x|-|-2.5|=|-7.5
|1-3x|=x-7 [ dieu kien : x-7>,=0]
1) Tìm x \(\in\) Q
a) \(2x+\dfrac{5}{2}=\dfrac{7}{2}\)
b) \(\left|5-\dfrac{1}{2}x\right|=\left|\dfrac{-1}{5}\right|\)
2) Tìm x, y, z, biết
\(\left(2x-\dfrac{1}{2}\right)^2+\left(y+\dfrac{1}{2}\right)^2+\left(z-\dfrac{1}{3}\right)^2=0\)
Bài 1: Tìm số nguyên x để số hữu tỉ sau là số nguyên:
A=\(\dfrac{x+3}{x-5}\)
B=\(\dfrac{2x+1}{x-2}\)
Bài 2: Tìm các cặp số x;y sau cho:
a)\(\dfrac{5}{x}-\dfrac{1}{3}=\dfrac{2y}{3}\)
b)\(\dfrac{6}{y}\)+\(\dfrac{1}{5}=\dfrac{2x}{5}\)
Bài 3: Tính giá trị biểu thức:
A=\(^{x^3}\)-\(^{3x^2}\)+3x\(-\)1 biết \(\left|x\right|\)=1
B=(x+5).(x\(-\)5) biết \(\left|x\right|\)=3 và x<0
Bài 4: Tìm x, biết:
a)\(\left|2x-\dfrac{3}{2}\right|\)\(-\)0,75=0
b)\(\left|2x-1\right|\)=\(\left|x+2\right|\)
c)\(\left|x+7\right|=\left|3x-2\right|\)
Tìm x biết :
b) |x - 1| + 3x = 1
c) |2x - 1 = |2x + 3|
d) |x| + |x +2| = 0
e) \(\left|x.\left(x^2-\dfrac{5}{4}\right)\right|=x\)
a, 3-2 | 4x-5| = \(\dfrac{2}{6}\)
b, | 4-7x | - \(\dfrac{3}{2}\) : 5 = | -1 \(\dfrac{1}{3}\) |
c, ( 7-3x ) ( 2x+ 1 )= 0
d, 2x (5-3x) > 0
e, ( 4-2x) ( 5x +3 ) < 0
g, | 3x + 1 | + | 1 -3x | = 0
mọi người giúp mình nha mình đang cần gấp lắm
a) 6.5 - \(\dfrac{9}{4}\): / x+ \(\dfrac{1}{3}\)/=2
b)\(\dfrac{11}{4}\)+\(\dfrac{2}{3}\):/4x - \(\dfrac{1}{5}\) / =\(\dfrac{7}{2}\)
c) (x-\(\dfrac{1}{4}\))2 + / 2x - \(\dfrac{1}{2}\)= 0
Tìm x biết :
a )\(\left|2x-1\right|=1,5\)
b)\(7,5-\left|5-2x\right|=-4,5\)
c)\(-3+\left|x\right|=-1\)
d)\(\left|2\dfrac{1}{3}-x\right|=\dfrac{1}{6}\)
e)\(\dfrac{5}{7}-\left|x+1\right|=\dfrac{1}{14}\)
f)\(\left|2x+3\dfrac{1}{5}\right|-\dfrac{1}{2}=\dfrac{3}{10}\)