\(\left(\frac{2}{11.13}+\frac{2}{13.15}+\frac{2}{15.17}+\frac{2}{17.19}+\frac{2}{19.21}\right)\) ) . 462 - x = 19

\(\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+\frac{1}{17}-\frac{1}{19}+\frac{1}{19}-\frac{1}{21}\right)\) . 462 - x  = 19

\(\left(\frac{1}{11}-\frac{1}{21}\right)\) . 462 - x = 19 

... Chúc bạn học tốt !

\(\left(\frac{2}{11\cdot13}+\frac{2}{13\cdot15}+\frac{2}{15\cdot17}+\frac{2}{17\cdot19}+\frac{2}{19\cdot21}\right)\)\(\cdot462-x=19\)

\(\left(\frac{1}{11\cdot13}+\frac{1}{13\cdot15}+\frac{1}{15\cdot17}+\frac{1}{17\cdot19}+\frac{1}{19\cdot21}\right)\)\(\cdot462-x=19\)

\(\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+\frac{1}{17}-\frac{1}{19}+\frac{1}{19}-\frac{1}{21}\right)\)\(\cdot462-x=19\)

\(\left(\frac{1}{11}-\frac{1}{21}\right)\cdot462-x=19\)

\(\frac{10}{231}\cdot462-x=19\)

\(20-x=19\)

\(x=20-19\)

\(x=1\)

cảm ơn mọi người

Đặt \(A=\frac{2}{11.13}+\frac{2}{13.15}+\frac{2}{15.17}+\frac{2}{17.19}+\frac{2}{19.21}^{ }\)

\(A=\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+\frac{1}{17}-\frac{1}{19}+\frac{1}{19}-\frac{1}{21}\)

\(A=\frac{1}{11}-\frac{1}{21}\)

\(A=\frac{10}{231}\)

Thay \(A=\frac{10}{231}\) vào ta có

\(\frac{10}{231}.462-x=19\)

\(20-x=19\)

\(x=20-19\)

\(x=1\)

boi vi\(\frac{10}{231}.462=20\) cho mik dung nha

Đề là tìm x hả bạn!!

câu hỏi của tôi giống câu A của nguyễn

\(\frac{2+2+2+2+2}{\left(11.13+13.15+15.17+17.19+19.21\right)}.462-X=19\)

\(\Rightarrow\)\(\frac{2}{263}.462-X=19\)

\(\Rightarrow\)\(\frac{924}{263}-X=19\)

\(\Rightarrow\)\(X=\frac{924}{263}-19\)

\(\Rightarrow X=\frac{-4073}{263}\)

\(\left(\frac{2}{11.13}+\frac{2}{13.15}+...+\frac{2}{19.21}\right).462-\left[2,04:\left(x+1,05\right):0,12\right]=19\)

\(\Leftrightarrow\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+...+\frac{1}{19}-\frac{1}{21}\right).462-\left[2,04:\left(x+1,05\right):0,12\right]=19\)

\(\Leftrightarrow\left(\frac{1}{11}-\frac{1}{21}\right).462-\left[2,04:\left(x+1,05\right):0,12\right]=19\)

\(\Leftrightarrow\frac{10}{231}.462-\left[2,04:\left(x+1,05\right):0,12\right]=19\)

\(\Leftrightarrow20-\left[2,04:\left(x+1,05\right):0,12\right]=19\)

\(\Leftrightarrow2,04:\left(x+1,05\right):0,12=1\)

\(\Leftrightarrow2,05:\left(x+1,05\right)=0,12\)

\(\Leftrightarrow x+1,05=\frac{205}{12}\)

\(\Leftrightarrow x=\frac{205}{12}-1,05\)

\(\Leftrightarrow x=\frac{481}{30}\)