Tìm x, biết:
a) \(4\left|3x-1\right|+\left|x\right|-2\left|x-5\right|+7\left|x-3\right|=12\)
b) \(2\left|x+3\frac{1}{2}\right|+\left|x\right|-3\frac{1}{2}=\left|2\frac{1}{5}-x\right|\)
Với giá trị nào của x mỗi biểu thức sau đạt giá trị nhỏ nhất:
\(a)A=\left|x-3\right|+\left|x-5\right|+\left|x-7\right|\)
\(b)B=\left|x-1\right|+\left|x-2\right|+\left|x-3\right|+\left|x+5\right|\)
\(c)C=\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+\left|x+4\right|+\left|x+5\right|\)
\(d)D=\left|2x+1\right|+\left|2x+3\right|+\left|2x+5\right|+\left|2x+7\right|+\left|2x+9\right|+\left|2x+11\right|\)
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Bài 4: Tính hợp lý
a) \(A=\left(\left|\frac{-3}{4}\right|+\left|\frac{-2}{5}\right|\right):\frac{3}{7}+\left(\frac{-3}{5}+\left|\frac{-1}{4}\right|\right):\frac{3}{7}\)
b) \(B=2\frac{5}{23}-\left(\frac{-7}{9}\right)-\left|\frac{-5}{23}\right|+\frac{12}{9}+\left|-0,75\right|\)
Bài 5 : Tìm x :
\(\frac{11}{12}-\left(\frac{2}{5}+x\right)=\left|\frac{-2}{3}\right|\)
b) \(\left|x\right|:\left(\frac{1}{9}-\frac{2}{5}\right)=\frac{-1}{2}\)
c) \(\left(x-\frac{1}{5}\right).\left(1\frac{3}{5}+2x\right)=0\)
1/ Tìm GTNN:
a,\(\left|7x-5y\right|+\left|2z-3y\right|+\left|xy+yz+xz-2000\right|\)
b,\(\left|3x-7\right|+\left|3x+2\right|+8\)
2/ Tìm x, y:
a, \(\left|x-5\right|+\left|1-x\right|=\dfrac{12}{\left|y+1\right|+3}\)
b,\(\left|y+3\right|+5=\dfrac{10}{\left(2x-6\right)^2+2}\)
c,\(\left|x-1\right|+\left|3-x\right|=\dfrac{6}{\left|y+3\right|+3}\)
1.Tìm x:
a. 4\(\left|3x-1\right|+\left|x\right|-2\left|x-5\right|+7\left|x-3\right|=12\)
\(a.\left|x+2\right|+\left|x-1\right|=3-\left(y+2\right)^2\)
\(b.\left|x-5\right|+\left|1-x\right|=\dfrac{12}{\left|y+1\right|+3}\)
\(c.\left|y+3\right|+5=\dfrac{10}{\left(2x-6\right)^2+2}\)
\(d.\left|x-1\right|+\left|3-x\right|=\dfrac{6}{\left|y-3\right|+3}\)
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)\(\left|2x\right|+\left|y+\dfrac{1}{4}\right|=0\)
1. Tìm x, biết:
a. \(3x-|x+15|=\frac{5}{4}\)
b. \(\left|x-0,6\right|< \frac{1}{3}\)
c. \(\left|x+\frac{7}{2}\right|\ge\left|-3,5\right|\)
d. \(\left|x-1\right|\le3\frac{1}{4}\)
e. \(\left|2x-1\right|>\left|-\frac{3}{4}\right|\)
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)\(\left|x+4\right|+\left|1-2y\right|=0\)
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