x/3+x/15+x/35+................+x/99+x/143=6/13

có giải cho tao không

1 câu trả lời

\(\frac{x}{1.3}+\frac{x}{3.5}+\frac{x}{5.7}+.....+\frac{x}{9.11}+\frac{x}{11.13}=\frac{6}{13}\)

=>\(\frac{x}{1}-\frac{x}{3}+\frac{x}{3}-\frac{x}{5}+\frac{x}{5}-\frac{x}{7}+......+\frac{x}{9}-\frac{x}{11}+\frac{x}{11}-\frac{x}{13}=\frac{12}{13}\)

\(\frac{x}{1}-\frac{x}{13}=\frac{12}{13}\)

x.12/13=12/13 => x=1