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\(\frac{1}{1\times2\times3}+\frac{1}{2\times3\times4}+...+\frac{1}{2014\times2015\times2016}\)
\(=\frac{1}{2}\times\left(\frac{3-1}{1\times2\times3}+\frac{4-2}{2\times3\times4}+...+\frac{2016-2014}{2014\times2015\times2016}\right)\)
\(=\frac{1}{2}\times\left(\frac{1}{1\times2}-\frac{1}{2\times3}+\frac{1}{2\times3}-\frac{1}{3\times4}+...+\frac{1}{2014\times2015}-\frac{1}{2015\times2016}\right)\)
\(=\frac{1}{2}\times\left(\frac{1}{1\times2}-\frac{1}{2015\times2016}\right)\)
\(=\frac{2031119}{8124480}\)
A = 19\(\dfrac{1}{4}\) + \(\dfrac{1}{2\dfrac{1}{3}}\) + 5,75 - \(\dfrac{1}{6}\) + 74
A = \(\dfrac{77}{4}\) + \(\dfrac{1}{\dfrac{7}{3}}\) + 5,75 - \(\dfrac{1}{6}\) + 74
A = \(\dfrac{77}{4}\) + \(\dfrac{3}{7}\) + \(\dfrac{23}{4}\) - \(\dfrac{1}{6}\) + 74
A = \(\dfrac{3234}{168}\) + \(\dfrac{72}{168}\) + \(\dfrac{966}{168}\) - \(\dfrac{28}{168}\) + \(\dfrac{12432}{168}\)
A = \(\dfrac{16676}{168}\)
A = \(\dfrac{4169}{42}\)
[(x+1)/2]2=26/25-17/25=9/25
=> (x+1)/2=3/5 => x=1/5 hoặc x=-11/5
hoặc (x+1)/2=-3/5
Đề vầy đúng không :
( x+1/2)^2 + 17/25 = 26 / 25
(x+1/2)^2=26/25-17/25
(x+1/2)^2=9/25
=> x+1/2=3/5
=> x = 3/5-1/2=1/10
\(\dfrac{x+2}{-4}=-\dfrac{9}{x+2}\\ \Rightarrow\left(x+2\right)^2=\left(-4\right).\left(-9\right)\\ \Rightarrow\left(x+2\right)^2=36\\ \Rightarrow\left(x+2\right)^2=\pm6^2\\ \Rightarrow\left[{}\begin{matrix}x+2=6\\x+2=-6\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=4\\x=-8\end{matrix}\right.\)
\(C=\dfrac{7}{10}\cdot\dfrac{8}{3}\cdot20\cdot\dfrac{3}{8}\cdot\dfrac{5}{28}\)
\(=7\cdot2\cdot\dfrac{5}{28}=\dfrac{5}{2}\)
\(D=\left(-6.17+3+\dfrac{5}{9}-2-\dfrac{36}{97}\right)\cdot\left(\dfrac{1}{3}-\dfrac{1}{4}-\dfrac{1}{12}\right)=0\)