Question

x/6+x/10+x/15+x/21+x/28+x/36=8/9

Answer 1

nhân 1/2 cả 2 vế PT:

bạn tự làm típ nha

Answer 2

\(\frac{x}{6}+\frac{x}{10}+\frac{x}{15}+\frac{x}{21}+\frac{x}{28}+\frac{x}{36}=\frac{8}{9}\)

\(\Leftrightarrow\frac{x}{12}+\frac{x}{20}+\frac{x}{30}+\frac{x}{42}+\frac{x}{56}+\frac{x}{72}=\frac{8}{18}=\frac{4}{9}\)

\(\Leftrightarrow\frac{x}{3.4}+\frac{x}{4.5}+\frac{x}{5.6}+\frac{x}{6.7}+\frac{x}{7.8}+\frac{x}{8.9}=\frac{4}{9}\)

\(\Leftrightarrow\frac{x}{3}-\frac{x}{4}+\frac{x}{4}-\frac{x}{5}+\frac{x}{5}-\frac{x}{6}+...+\frac{x}{8}-\frac{x}{9}=\frac{4}{9}\)

\(\Leftrightarrow\frac{x}{3}-\frac{x}{9}=\frac{4}{9}\Leftrightarrow\frac{2x}{9}=\frac{4}{9}\Leftrightarrow x=2\)