\(-\frac{9}{25}\)X \(\frac{53}{3}\)+ \(\frac{9}{25}\) X \(\frac{22}{3}\)
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\(Q=\left(\frac{-9}{25}\right).\frac{53}{3}-\left(\frac{-3}{5}\right)^2.\frac{22}{3}\)
\(Q=\left(\frac{-9}{25}\right).\frac{53}{3}-\left(\frac{9}{25}\right).\frac{22}{3}\)
\(Q=\left(\frac{9}{25}\right).\frac{-53}{3}-\left(\frac{9}{25}\right).\frac{22}{3}\)
\(Q=\frac{9}{25}.\left(\frac{-53}{3}-\frac{22}{3}\right)\)
\(Q=\frac{9}{25}.\frac{-75}{3}\)
\(Q=\frac{9}{25}.\left(-25\right)\)
\(Q=\frac{-225}{25}=-9\)
Q= \(\left(\frac{-9}{25}\right).\frac{53}{3}-\left(\frac{-3}{5}\right)^2.\frac{22}{3}\)
Q=\(\left(\frac{-9}{25}\right).\frac{53}{3}-\frac{9}{25}.\frac{22}{3}\)
Q=\(\frac{9}{25}.\left(\frac{-53}{3}\right)-\frac{9}{25}.\frac{22}{3}\)
Q=\(\frac{9}{25}.\left(\frac{-53}{3}-\frac{22}{3}\right)\)
Q=\(\frac{9}{25}.\left(-25\right)\)=\(-9\)
29-x/21 + 27-x/23 + 25-x/25 + 23-x/27 + 21-x/29 = -5
1 + 29-x/21 + 1 + 27-x/23 + 1 + 25-x/25 + 1 + 23-x/27 + 1 + 21-x/29 = 0
50-x/21 + 50-x/23 + 50-x/25 + 50-x/27 + 50-x/29 = 0
(50-x) (1/21 + 1/23 + 1/25 + 1/27 + 1/29) = 0
Vì: 1/21 + 1/23 + 1/25 + 1/27 + 1/2 > 0
=> 50 - x = 0
x = 50
Vậy x = 50
\(\frac{-1}{3}+\frac{0,2-0,3+\frac{5}{11}}{-0,3+\frac{9}{16}-\frac{15}{12}}\)
\(=\frac{-1}{3}+\frac{\frac{2}{10}-\frac{3}{10}+\frac{5}{11}}{\frac{-3}{10}+\frac{9}{16}-\frac{15}{12}}\)
\(=\frac{-1}{3}+\frac{\frac{39}{110}}{\frac{-79}{80}}\)
\(=\frac{-1}{3}-\frac{312}{869}\)
\(=\frac{-1805}{2607}\)
\(A=\frac{9}{8}-\frac{8}{9}+\frac{3}{25}+\frac{1}{4}-\frac{5}{16}+\frac{19}{25}-\frac{1}{9}+\frac{2}{25}-\frac{1}{81}\)
\(A=\left(\frac{9}{8}+\frac{1}{4}-\frac{5}{16}\right)-\left(\frac{8}{9}+\frac{1}{9}-\frac{1}{81}\right)+\left(\frac{3}{25}+\frac{19}{25}+\frac{2}{25}\right)\)
\(A=\frac{17}{16}-\frac{80}{81}+\frac{24}{25}\)
\(A=\frac{33529}{32400}\)
a) \(\frac{2}{7}x-\frac{1}{3}x=\frac{5}{21}\)
\(\left(\frac{2}{7}-\frac{1}{3}\right)x=\frac{5}{21}\)
\(\left(-\frac{1}{21}\right)x=\frac{5}{21}\Rightarrow x=\frac{5}{21}:-\frac{1}{21}=-5\)
b) \(\frac{x+1}{1974}+\frac{x+2}{1973}+\frac{x+3}{1972}=-3\)
\(\left(\frac{x+1}{1974}+1\right)+\left(\frac{x+2}{1973}+1\right)+\left(\frac{x+3}{1972}+1\right)=-3+3\)
\(\frac{x+1975}{1974}+\frac{x+1975}{1973}+\frac{x+1975}{1972}=0\)
\(\left(x+1975\right)\left(\frac{1}{1974}+\frac{1}{1973}+\frac{1}{1972}\right)=0\)
Mà \(\frac{1}{1974}+\frac{1}{1973}+\frac{1}{1972}>0\Rightarrow x+1975=0\)
\(x=-1975\)
Ta có \(\frac{9}{25}x+\frac{3}{5}.\frac{9}{25}x+\frac{3}{5}.18+\frac{9}{25}x+18=x\)
=> \(\frac{9}{25}x\left(1+\frac{3}{5}+1\right)+18\left(\frac{3}{5}+1\right)=x\)
=> \(\frac{117}{125}x+28,8=x\)
=> \(x-\frac{117}{125}x=28,8\)
=> \(\frac{8}{125}x=28,8\)
=> x = 450
Vậy x = 450
\(\frac{9}{25}x+\frac{3}{5}.\frac{9}{25}x+\frac{3}{5}.18+\frac{9}{25}x+18=x\)
\(x\left(\frac{9}{25}+\frac{9}{25}+\frac{9}{25}\right).\frac{3}{5}+\frac{3}{5}.18+18=x\)
\(x.\frac{3}{5}\left(\frac{27}{25}+18\right)+18=x\)
\(x.\frac{3}{5}\left(\frac{27}{25}+\frac{450}{25}\right)+18=x\)
\(x.\frac{3}{5}.\frac{477}{25}+18=x\)
\(x.\frac{1431}{125}+\frac{2250}{125}=x\)
\(x.\frac{3681}{125}=x\)
vậy chac tui làm sai rồi
P/s: Chuyển tất cả các hạng tử sang 1 vế rồi cộng thêm 1 vào các vế có dấu (+) đằng trước, cộng thêm -1 vào các hạng tử có dấu (-) phía trước rồi đặt nhân tử chung ra ngoài ta được:
\(Pt\Leftrightarrow\left(x-2004\right)\left(\frac{1}{1979}-\frac{1}{1980}-\frac{1}{1981}-\frac{1}{1982}-\frac{1}{25}+\frac{1}{24}+\frac{1}{23}+\frac{1}{22}\right)=0\)
\(\Leftrightarrow x-2004=0\)
\(\Rightarrow x=2004\)
Vậy x = 2004
https://olm.vn/hoi-dap/detail/263823966145.html?pos=616279814817
\(-\frac{9}{25}.\frac{53}{3}+\frac{9}{5}.\frac{22}{3}\)
\(=-\frac{159}{25}+\frac{66}{5}=-\frac{159}{25}+\frac{330}{25}=\frac{171}{25}\)
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