( x + \(\frac{1}{2}\) ) * ( \(\frac{2}{3}\) * 2 ) * x =0
giúp mk nha ai nhanhh mk tk cho
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\(7-\left(11+x-13\right)\div2\frac{2}{3}=2\)
\(\left(11+x-13\right)\div2\frac{2}{3}=7-2\)
\(\left(11+x-13\right)\div2\frac{2}{3}=5\)
\(11+x-13=\frac{40}{3}\)
\(11+x=\frac{79}{3}\)
\(x=\frac{46}{3}\)
Tờ làm luôn, ko ghi đề nữa nhé
\(A=\frac{\frac{24}{12}-\frac{4}{12}+\frac{3}{12}}{\frac{24}{12}+\frac{2}{12}-\frac{3}{12}}\)
\(A=\frac{\frac{23}{12}}{\frac{23}{12}}=1\)
Vậy A=1
\(A=\frac{2-\frac{1}{3}+\frac{1}{4}}{2+\frac{1}{6}-\frac{1}{4}}\)\(=\frac{2-\frac{2}{6}+\frac{2}{8}}{2+\frac{2}{12}-\frac{2}{8}}\)\(=\frac{2\left(1-\frac{1}{6}+\frac{1}{8}\right)}{-2\left(1-\frac{1}{12}+\frac{1}{8}\right)}\)\(=-1\)
7 - ( 11 + x -13 ) : \(2\frac{2}{3}\) = 2
(11+ x - 13) : \(2\frac{2}{3}\) = 7-2
(11 + x - 13) : \(2\frac{2}{3}\)= 5
11 + x - 13 = 5 . \(2\frac{2}{3}\)
11 + x - 13 = \(\frac{40}{3}\)
11 + x = \(\frac{40}{3}+13\)
11 + x = \(\frac{79}{3}\)
x = \(\frac{79}{3}-11\)
x = \(\frac{46}{3}\)
\(\left(x+y+z\right)\left(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\right)\ge9\) nha bạn!
ko hỉu thì ib
\(\left(x+y+z\right).\left(\frac{1}{z}+\frac{1}{y}+\frac{1}{x}\right)\ge9\) với x,y,z dương hay jj đó chứ? (cái này t k bt -.-) VD: x=2, y=-2,z=4
=> \(\left(x+y+z\right).\left(\frac{1}{z}+\frac{1}{y}+\frac{1}{x}\right)=\left(2-2+4\right).\left(\frac{1}{2}-\frac{1}{2}+\frac{1}{4}\right)=1\)
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\(\left(x+y+z\right).\left(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\right)=1\)
\(\Leftrightarrow\left(x+y+z\right).\left(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\right)-\frac{x+y+z}{x+y+z}=0\)
\(\Leftrightarrow\left(x+y+z\right).\left(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}-\frac{1}{x+y+z}\right)=0\)
vì x+y+z khác 0 => \(\frac{1}{x}+\frac{1}{y}+\frac{1}{x}-\frac{1}{x+y+z}=0\)
\(\Leftrightarrow\frac{xy+yz+xz}{xyz}-\frac{1}{x+y+z}=0\)
\(\Leftrightarrow\frac{\left(xy+yz+xz\right).\left(x+y+z\right)-xyz}{xzy.\left(x+y+z\right)}=0\)
\(\Leftrightarrow\frac{x^2y+xy^2+xyz+zyx+y^2z+yz^2+x^2z+xyz+xz^2-xzy}{xyz.\left(x+y+z\right)}=0\)
\(\Leftrightarrow\left(x^2y+xyz\right)+\left(xy^2+y^2z\right)+\left(yz^2+xzy\right)+\left(x^2z+xz^2\right)=0\)
\(\Leftrightarrow xy.\left(x+z\right)+y^2.\left(x+z\right)+yz.\left(z+x\right)+xz.\left(x+z\right)=0\)
\(\Leftrightarrow\left(x+z\right).\left(xy+y^2+yz+xz\right)=0\)
\(\Leftrightarrow\left(x+z\right).\left[x.\left(y+z\right)+y.\left(y+z\right)\right]=0\)
\(\Leftrightarrow\left(x+y\right).\left(y+z\right).\left(x+z\right)=0\Leftrightarrow\orbr{\begin{cases}x=-y\\y=-z\end{cases}\text{hoặc }x=-z}\)
\(\Rightarrow P=\left(\frac{1}{x}-\frac{1}{y}\right).\left(\frac{1}{y}+\frac{1}{z}\right).\left(\frac{1}{z}+\frac{1}{x}\right)=0\)
ps: bài này t làm cách l8, ai có cách ez hơn giải vs ak :') morongtammat
đề cần chứng minh nhỏ hơn 1 hay 11
nếu 1 thì
\(\frac{1}{2^2}+\frac{1}{3^2}+......+\frac{1}{100^2}\)
\(< \frac{1}{1\cdot2}+\frac{1}{2\cdot3}+.......+\frac{1}{99\cdot100}\)
\(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+......+\frac{1}{99}-\frac{1}{100}\)
\(=1-\frac{1}{100}< 1\)
\(\Rightarrowđcm\)
nếu nhỏ hơn 11 thì làm như thế thêm câu
vì đẳng thức trên <1<11
=>đcm
\(\frac{1}{2}+\frac{1}{2}\times\left(50\%+\frac{1}{4}\right)\)
\(=\frac{1}{2}+\frac{1}{2}\times\left(\frac{1}{2}+\frac{1}{4}\right)\)
\(=1\times\frac{3}{4}\)
\(=\frac{3}{4}\)
Từ đề bài => 2 trường hợp
th1: x=0
th2: x=\(\frac{-1}{2}\)
\(\left(x+\frac{1}{2}\right)\times\left(\frac{2}{3}\times2\right)\times x=0\)
\(\left(x+\frac{1}{2}\right)\times\frac{4}{3}\times x=0\)
\(\Rightarrow x+\frac{1}{2}=0\) HOẶC \(x=0\)
\(x=0-\frac{1}{2}=-\frac{1}{2}\)
VẬY, \(x=-\frac{1}{2}\) HOẶC \(x=0\)