Question

(1-1/2)×(1-1/3)×(1-1/4)×(1-1/5)=x-100

Vac ban ghi loi giai nha so xong truoc minh tick cho

Answer 1

\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)=x-100\)

\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}=x-100\)

\(\frac{1}{5}=x-100\)

\(x=100+\frac{1}{5}\)

\(x=100,2\)

Answer 2

\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{5}\right)=x-100\)

=> \(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}=x-100\)

=> \(\frac{1\times2\times3\times4}{2\times3\times4\times5}=x-100\)

=> \(\frac{1}{5}=x-100\)

=> \(x=100+\frac{1}{5}=\frac{501}{5}\)

Answer 3

cảm ơn các bạn nhiều

Answer 4

\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)=x-100\)

\(\Leftrightarrow\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}=x-100\)

\(\Leftrightarrow\frac{1.2.3.4}{2.3.4.5}=x-100\)

\(\Leftrightarrow\frac{1}{5}=x-100\Leftrightarrow x=\frac{501}{5}\)