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Ta có :
\(N=\frac{1}{10}+\frac{1}{40}+\frac{1}{88}+\frac{1}{154}+\frac{1}{238}+\frac{1}{340}\)
\(N=\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+\frac{1}{11.14}+\frac{1}{14.17}+\frac{1}{17.20}\)
\(3N=\frac{3}{2.5}+\frac{3}{5.8}+\frac{3}{8.11}+\frac{3}{11.14}+\frac{3}{14.17}+\frac{3}{17.20}\)
\(3N=\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{17}+\frac{1}{17}-\frac{1}{20}\)
\(3N=\frac{1}{2}-\frac{1}{20}\)
\(3N=\frac{9}{20}\)
\(N=\frac{9}{20}:3\)
\(N=\frac{3}{20}\)
Vậy \(N=\frac{3}{20}\)
Chúc bạn học tốt ~
\(N=\frac{1}{10}+\frac{1}{40}+...+\frac{1}{238}+\frac{1}{340}\)
\(N=\frac{1}{2.5}+\frac{1}{5.8}+...+\frac{1}{14.17}+\frac{1}{17.20}\)
\(N=\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+...+\frac{1}{14}-\frac{1}{17}+\frac{1}{17}-\frac{1}{20}\)
\(N=\frac{1}{2}-\frac{1}{20}\)
\(N=\frac{10}{20}-\frac{1}{20}\)
\(N=\frac{9}{20}\)
1)87:x +93:x-66:x=38
(87+93-66):x =38
114 :x =38
x = 114:38
x =3
2)65 x X +95784=101569
65xX =101569-95784
65xX =5785
X = 5785:65
x =89
3) x:1/2+x:1/7+ x:1/3=864
x: (1/2+1/7+1/3) =864
x : 41/42 =864
x =864x41/42
x =5904/7
p/s tham khảo nhé
\(X.2+X.5=175\)
\(\Rightarrow X.\left(2+5\right)=175\)
\(\Rightarrow X.7=175\)
\(\Rightarrow X=175:7=25\)
\(Y.Y-3=78\)
\(\Rightarrow Y^2=78+3\)
\(\Rightarrow Y^2=81\)
\(\Rightarrow Y^2=\orbr{\begin{cases}\left(-9\right)^2\\9^2\end{cases}}\)
\(\Rightarrow Y=\orbr{\begin{cases}\left(-9\right)\\9\end{cases}}\)
Ta có 2 TH
TH1 : Nếu Y = ( -9 ) => X + Y = 25 + ( -9 ) = 16
TH2 : Nếu Y = 9 => X + Y = 25 + 9 = 34
\(x\) x 2 + \(x\) x 5 = 175
=> \(x\) x (2 + 5) = 175
\(x\) x 7 = 175
\(x\) = 175/7 = 25
\(y\) x \(y\) - 3 = 78
\(y\) x \(y\)= 78 + 3 = 81
\(y\) = \(9\)
\(x + y = 25 + 9 = 34\)


Câu a: tính hợp lí:
a; \(\frac{175\times88\times87}{88}+175\times87\)
= 175 x 87 + 175 x 87
= 175 x 87 x ( 1+ 1)
= 175 x 87 x 2
= (175 x 2) x 87
= 350 x 87
= 30450