Question

Tìm x biết : \(x=\frac{1+\frac{1+\frac{1+\frac{1}{3}}{3}}{3}}{2+\frac{3}{2+\frac{3}{2+\frac{3}{2}}}}+\frac{1}{2}\)

Answer 1

\(x=\frac{1+\frac{1+\frac{\frac{4}{3}}{3}}{3}}{2+\frac{3}{2+\frac{3}{\frac{7}{2}}}}+\frac{1}{2}\)

\(x=\frac{1+\frac{1+\frac{4}{9}}{3}}{2+\frac{3}{2+\frac{6}{7}}}+\frac{1}{2}\)

\(x=\frac{1+\frac{13}{\frac{9}{3}}}{2+\frac{3}{\frac{20}{7}}}+\frac{1}{2}=\frac{1+\frac{13}{27}}{2+\frac{21}{20}}+\frac{1}{2}\)

\(x=\frac{40}{27}:\frac{61}{20}+\frac{1}{2}=\frac{3247}{3294}\)

Answer 2

Dương đệ nhất mà cũng phải hỏi bài á