ai giúp mình câu này với
(-2) + (-49) + (-18) + 49 - 51
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\(A=\left(\dfrac{1}{49}-\dfrac{1}{2^2}\right)\left(\dfrac{1}{49}-\dfrac{1}{3^2}\right)\cdot...\cdot\left(\dfrac{1}{49}-\dfrac{1}{100^2}\right)\)
\(=\left(\dfrac{1}{49}-\dfrac{1}{7^2}\right)\left(\dfrac{1}{49}-\dfrac{1}{2^2}\right)\cdot...\cdot\left(\dfrac{1}{49}-\dfrac{1}{100^2}\right)\)
\(=\left(\dfrac{1}{49}-\dfrac{1}{49}\right)\left(\dfrac{1}{49}-\dfrac{1}{4}\right)\cdot...\cdot\left(\dfrac{1}{49}-\dfrac{1}{10000}\right)\)
=0
\(\frac{6}{1.3}+\frac{6}{3.5}+\frac{6}{5.7}+...+\frac{6}{49.51}\)
\(=3\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{49.51}\right)\)
\(=3\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{49}-\frac{1}{51}\right)\)
\(=3\left(1-\frac{1}{51}\right)\)
\(=3.\frac{50}{51}\)
Chúc bn hok tốt
\(\frac{6}{1\cdot3}+\frac{6}{3\cdot5}+\frac{6}{5\cdot7}+...+\frac{6}{49\cdot51}\)
\(=3\left(\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+...+\frac{2}{49\cdot51}\right)\)
\(=3\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{49}-\frac{1}{51}\right)\)
\(=3\left(1-\frac{1}{51}\right)\)
\(=3\cdot\frac{50}{51}\)
\(=\frac{50}{17}\)
876,98+(875,876):775-6=872,1101
6778+78.87=6856,87
51+7,5-49-(-7,5)=17
Bài 50:
1: \(\left(4-x\right)^2-16=0\)
\(\Leftrightarrow x\left(x-8\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=8\end{matrix}\right.\)
3: \(x^2-6x+9-16=0\)
\(\Leftrightarrow\left(x-7\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=7\\x=-1\end{matrix}\right.\)
= (-71) nha
Chúc cậu học tốt:3