Bài 1: Tìm x biết
a) \(\left|x-\dfrac{1}{3}\right|=2\dfrac{1}{5}\)
b) \(\left|-x+\dfrac{2}{5}\right|+\dfrac{1}{2}=3,5\)
c) \(\left|x+\dfrac{1}{4}\right|-\dfrac{3}{4}=5\%\)
Bài 2: Rút gọn biểu thức sau nếu x < -1,3
A= \(\left|x+1,3\right|-\left|x-2,5\right|\)
B= \(\left|-x-1,3\right|-\left|x-2,5\right|\)
Bài 3: Tìm x biết
a) \(\left|x-1\right|=x-1\)
b) \(\left|x-1\right|=1-x\)
c) \(x-1< \left|x-1\right|\)
d) \(x-1>\left|x-1\right|\)
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 GTNN của biểu thức sau:
a. B = \(\left|x+\dfrac{1}{2}\right|+\left|x+\dfrac{1}{3}\right|+\left|x+\dfrac{1}{4}\right|\)
b. \(C=3\left|x+-\dfrac{2}{5}\right|+\dfrac{5}{7}\)
Giúp với!
\(a.\left|x+2\right|+\left|x-1\right|=3-\left(y+2\right)^2\)
\(b.\left|x-5\right|+\left|1-x\right|=\dfrac{12}{\left|y+1\right|+3}\)
\(c.\left|y+3\right|+5=\dfrac{10}{\left(2x-6\right)^2+2}\)
\(d.\left|x-1\right|+\left|3-x\right|=\dfrac{6}{\left|y-3\right|+3}\)
Tìm x,y biết :
a ) \(1-\left|x-\dfrac{1}{4}\right|=0,25\)
b)\(\left|x+0,5\right|+2,25=0,5\)
c)\(\left|2x+5\right|=\left|1-x\right|\)
d)\(\left|x-2\right|-0,5=\dfrac{1}{4}\)
e)\(\left|\dfrac{3}{2}-x\right|+2=2\)
f)\(\left|x-3\right|+5=4\)
g)\(\left|\dfrac{1}{2}x-3\right|+\left|y+0,5\right|=0\)
h)\(\left|x+4\right|+\left|1-2y\right|=0\)
giup mình voi mình sap đi học rồi
tìm giá trị lớn nhất của các biểu thức
\(A=5-3\left(2x-1\right)^2\) \(B=\dfrac{1}{2\cdot\left(x-1\right)^2+3}\) \(C=\dfrac{x^2+8}{x^2+2}\) \(D=\dfrac{1}{\sqrt{x}+3}\)
Tìm x biết:
a) \(\left|x-\dfrac{1}{2}\right|+\left|x+2\right|=\dfrac{3}{4}\)
b) \(\left(\dfrac{2}{3}-2x\right).1\dfrac{1}{2}=\dfrac{3}{4}\)
c) \(\left|x-1\right|+2\left(x+4\right)=10\)
d) \(\dfrac{11}{12}+\dfrac{11}{12.23}+...+\dfrac{11}{89.100}+x=1\dfrac{2}{3}\)
e) \(\left(\dfrac{2}{11.13}+\dfrac{2}{13.15}+...+\dfrac{2}{19.21}\right)-x+4\dfrac{221}{231}=2\dfrac{1}{3}\)
Tìm x:
a) \(\left|x+1,2\right|=0,5\)
b) \(\left|x-\dfrac{1}{2}\right|+\dfrac{5}{6}=1\dfrac{1}{2}\)
c) \(\left|x-\dfrac{1}{2}\right|+\dfrac{4}{5}=\left|\left(-3,2\right)+\dfrac{2}{5}\right|\)
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)\(\left|2x+3\dfrac{1}{5}\right|-\dfrac{1}{2}=\dfrac{3}{10}\)
Tìm x,y thuộc Q biết
a) \(\left|x+y-\dfrac{1}{100}\right|=-\left|x\right|-\left|y\right|-\left|\dfrac{1}{10}\right|\)
b) \(\left|x-\dfrac{1}{2}y\right|+\left|y+\dfrac{4}{5}\right|=0\)
Tìm x biết \(\left|x+\dfrac{1}{101}\right|+\left|x+\dfrac{2}{101}\right|+\left|x+\dfrac{3}{101}\right|+...+\left|x+\dfrac{100}{101}\right|=101x\)
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