Question

[Nhân Mã cute]

(2/11.13+2/13.15+.......+2/19.21).462 -{2,04:(x+1,05):0,12=19

Answer 1

[Dương Lam Hàng]

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

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

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

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

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

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

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

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

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

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