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\(D=\dfrac{6-1}{1.6}+\dfrac{11-6}{6x11}+\dfrac{16-11}{11x16}+...+\dfrac{56-51}{51.56}=\)
\(=1-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{16}+...+\dfrac{1}{51}-\dfrac{1}{56}=1-\dfrac{1}{56}=\dfrac{55}{56}\)
\(\left(\frac{2}{11}+\frac{1}{3}\right)\cdot x=\left(\frac{1}{7}-\frac{1}{8}\right)\cdot56\)
\(\Rightarrow\left(\frac{6}{33}+\frac{11}{33}\right)\cdot x=\left(\frac{8}{56}-\frac{7}{56}\right)\cdot56\)
\(\Rightarrow\left(\frac{6+11}{33}\right)\cdot x=\left(\frac{8-7}{56}\right)\cdot56\)
\(\Rightarrow\frac{17}{33}\cdot x=\frac{1}{56}\cdot56\)
\(\Rightarrow\frac{17}{33}\cdot x=1\)
\(\Rightarrow x=1:\frac{17}{33}=\frac{33}{17}\)
Vậy x = 33/17
\(\left[\frac{2}{11}+\frac{1}{3}\right]\cdot x=\left[\frac{1}{7}-\frac{1}{8}\right]\cdot56\)
\(\Rightarrow\left[\frac{2\cdot3}{33}+\frac{1\cdot11}{33}\right]\cdot x=\left[\frac{8}{56}-\frac{7}{56}\right]\cdot56\)
\(\Rightarrow\left[\frac{6}{33}+\frac{11}{33}\right]\cdot x=\frac{1}{56}\cdot56\)
\(\Rightarrow\frac{17}{33}\cdot x=1\)
\(\Rightarrow x=1:\frac{17}{33}=1\cdot\frac{33}{17}=\frac{33}{17}\)
A = 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56
A = 1/1.2 + 1/2.3 + 1/3.4 + 1/4.5 + 1/5.6 + 1/6.7 + 1/7.8
A = 1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + 1/7 - 1/8
A = 1 + ( -1/2 + 1/2 ) + ( -1/3 + 1/3 ) + ( -1/4 + 1/4 ) + ( -1/5 + 1/5 ) + ( -1/6 + 1/6 ) + ( -1/7 + 1/7 ) - 1/8
A = 1 + 0 + 0 + 0 + 0 + 0 + 0 - 1/8
A = 1 - 1/8
A = 7/8
* Sửa đề tí nhé
B = 3/2 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42 + 15/56
B = 3/1.2 - 5/2.3 + 7/3.4 - 9/4.5 + 11/5.6 - 13/6.7 + 15/7.8
B = 3 - 3/2 - 5/2 - ( -5/3 ) + 7/3 - 7/4 - 9/4 - ( -9/5 ) + 11/5 - 11/6 - 13/6 - ( -13/7 ) + 15/7 - 15/8
B = 3 - 3/2 - 5/2 + 5/3 + 7/3 - 7/4 - 9/4 + 9/5 + 11/5 - 11/6 - 13/6 + 13/7 + 15/7 - 15/8
B = 3 + ( -3/2 - 5/2 ) + ( 5/3 + 7/3 ) + ( -7/4 - 9/4 ) + ( 9/5 + 11/5 ) + ( -11/6 - 13/6 ) + ( 13/7 + 15/7 ) - 15/8
B = 3 + -4 + 4 + -4 + 4 + -4 + 4 - 15/8
B = 3 + 0 + 0 + 0 - 15/8
B = 3 - 15/8
B = 9/8
\(11+5.\left(x-1\right)^2=56\)
\(=>5.\left(x-1\right)^2=56-11\)
\(=>5.\left(x-1\right)^2=45\)
\(=>\left(x-1\right)^2=45:5\)
\(=>\left(x-1\right)^2=9\)
\(=>\left(x-1\right)^2=3^2\) hoặc \(\left(x-1\right)^2=\left(-3\right)^2\)
\(=>x-1=3\) hoặc \(x-1=-3\)
\(=>x=3+1\) hoặc \(x=\left(-3\right)+1\)
\(=>x=4\) hoặc \(x=-2\)
Vậy \(x=4\) hoặc \(x=-2\)
11 + 5.( \(x\) - 1)2 = 56
5.(\(x\) - 1)2 = 56 - 11
5.(\(x\) - 1)2 = 45
\(\left(x-1\right)\)2 = 45 : 5
(\(x\) - 1)2 = 9
\(\left[{}\begin{matrix}x-1=-3\\x-1=3\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-3+1\\x=3+1\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-2\\x=4\end{matrix}\right.\)
Vậy \(x\) \(\in\) {-2; 4}