\(\left|x-\dfrac{1}{3}\right|=\dfrac{19}{12}\)
\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{1}{3}=\dfrac{19}{12}\\x-\dfrac{1}{3}=-\dfrac{19}{12}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{23}{12}\\x=-\dfrac{5}{4}\end{matrix}\right.\)
giúp mk vs làm mãi ko ra mk cảm ơn trc.
a)\(P=\dfrac{\dfrac{42}{31}.\dfrac{31}{7}-\left(1.5-6\dfrac{1}{3}.\dfrac{2}{19}\right)}{4\dfrac{5}{6}+\dfrac{1}{6}.\left(12-5\dfrac{1}{3}\right)}.\left(-1:\dfrac{14}{39}\right)\)
b)\(Q=\left(\dfrac{1}{4}-1\right).\left(\dfrac{1}{9}-1\right).\left(\dfrac{1}{16}-1\right).\left(\dfrac{1}{25}-1\right).....\left(\dfrac{1}{121}-1\right)\)
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) \(\left(\dfrac{2}{11.13}+\dfrac{2}{13.15}+...+\dfrac{2}{19.21}\right)-x+4\dfrac{221}{231}=2\dfrac{1}{3}\)
Câu 1: Tinh
\(A=\left(\dfrac{3}{5}\right)^2.5^2-\left(2\dfrac{1}{4}\right)^3:\left(\dfrac{3}{4}\right)^3+\dfrac{1}{2}\)
\(B=\left[\dfrac{4}{11}.\left(\dfrac{1}{25}\right)^0+\dfrac{7}{22}.2\right]^{2010}-\left(\dfrac{1}{2^2}:\dfrac{8^2}{4^4}\right)^{2009}\)
\(\dfrac{7}{8}.\left(\dfrac{2}{12}+\dfrac{4}{10}\right)\)
\(\dfrac{3}{2}-\dfrac{5}{6}:\left(\dfrac{1}{2}\right)^2+\sqrt{4}\)
Câu 2: Tim x
\(2.x-\dfrac{5}{4}=\dfrac{20}{15}\)
\(\left(x+\dfrac{1}{3}\right)^3=\left(\dfrac{-1}{8}\right)\)
\(a.\left|x+2\right|+\left|x-1\right|=3-\left(y+2\right)^2\)
\(b.\left|x-5\right|+\left|1-x\right|=\dfrac{12}{\left|y+1\right|+3}\)
\(c.\left|y+3\right|+5=\dfrac{10}{\left(2x-6\right)^2+2}\)
\(d.\left|x-1\right|+\left|3-x\right|=\dfrac{6}{\left|y-3\right|+3}\)
\(\left|x+\dfrac{1}{101}\right|+\left|x+\dfrac{2}{101}\right|+\left|x+\dfrac{3}{101}\right|+...+\left|x+\dfrac{100}{101}\right|=101x\)
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,\(\left|x-1\right|+\left|3-x\right|=\dfrac{6}{\left|y+3\right|+3}\)
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 giá trị nhỏ nhất (GTNN) của:
a) M=\(\left|x+\dfrac{15}{19}\right|\)
b) N=\(\left|x-\dfrac{4}{7}\right|-\dfrac{1}{2}\)
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)\(\left|2x+3\dfrac{1}{5}\right|-\dfrac{1}{2}=\dfrac{3}{10}\)
