Question

Dạo này mk hok hè thầy giao về nhà cx nhìu bài khó, mong mn giúp đỡ ạ

Đề toán:

\(\frac{2}{3\text{ x }5}\text{ }\text{ x }a+\frac{2}{5\text{ x }7}\text{ x }a+...\frac{2}{13\text{ x }15}\text{ x }a=\frac{28}{15}\)

Giải hộ, mai nộp

Answer 1

\(\frac{2}{3\times5}\times a+\frac{2}{5\times7}\times a+...+\frac{2}{13\times15}\times a=\frac{28}{15}\)

=> \(\left(\frac{2}{3\times5}+\frac{2}{5\times7}+...+\frac{2}{13\times15}\right)\times x=\frac{28}{15}\)

=> \(\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{13}-\frac{1}{15}\right)\times x=\frac{28}{15}\)

=> \(\left(\frac{1}{3}-\frac{1}{15}\right)\times x=\frac{28}{15}\)

=> \(\frac{4}{15}\times x=\frac{28}{15}\)

=>  \(x=\frac{28}{15}:\frac{4}{15}\)

-> \(x=7\)

Answer 2

\(\frac{2}{3\times5}\times a+\frac{2}{5\times7}\times a+...+\frac{2}{13\times15}\times a=\frac{28}{15}\)

\(a\times\left(\frac{2}{3\times5}+\frac{2}{5\times7}+...+\frac{2}{13\times15}\right)=\frac{28}{15}\)

\(a\times\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{13}-\frac{1}{15}\right)=\frac{28}{15}\)

\(a\times\left(\frac{1}{3}-\frac{1}{15}\right)=\frac{28}{15}\)

\(a\times\frac{4}{15}=\frac{28}{15}\)

\(a=\frac{28}{15}:\frac{4}{15}\)

\(a=\frac{28}{15}\times\frac{25}{4}\)

\(a=\frac{28}{4}=7\)

Answer 3

cảm ơn bn nha Edogawa Conan