Question

Tìm x biết

\(\left(\frac{1}{21}+\frac{1}{77}+\frac{1}{165}+\frac{2}{19.30}+\frac{2}{19.34}\right).x=\frac{3}{276}\)

Answer 1

\(\Leftrightarrow x\cdot\left[\dfrac{1}{4}\left(\dfrac{4}{21}+\dfrac{4}{77}+\dfrac{4}{165}\right)+\dfrac{2}{19\cdot30}+\dfrac{2}{19\cdot34}\right]=\dfrac{3}{276}\)

\(\Leftrightarrow x\cdot\left[\dfrac{1}{4}\left(\dfrac{1}{3}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{15}\right)+\dfrac{32}{4845}\right]=\dfrac{3}{276}\)

\(\Leftrightarrow x\cdot\dfrac{71}{969}=\dfrac{3}{276}\)

hay \(x=\dfrac{969}{6532}\)