các ban giúp mình nhé
(1-1/2) x (1-1/3) x (1-1/4) x (1-1/5) = X- 100
các bạn suy nghĩ nhanh và giúp mình giải nhé
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\(\frac{1}{5}+\frac{1}{3}\left(x+1\right)=\frac{1}{4}\)
\(\frac{1}{3}\left(x+1\right)=\frac{1}{4}-\frac{1}{5}\)
\(\frac{1}{3}\left(x+1\right)=\frac{1}{20}\)
\(x+1=\frac{1}{20}:\frac{1}{3}\)
\(x+1=\frac{3}{20}\)
\(x=\frac{3}{20}-1\)
\(x=-\frac{17}{20}\)
\(\frac{1}{5}+\frac{1}{3}\left(x+1\right)=\frac{1}{4}\)
\(\frac{1}{3}\left(x+1\right)=\frac{1}{4}-\frac{1}{5}\)
\(\frac{1}{3}\left(x+1\right)=\frac{1}{20}\)
\(x+1=\frac{1}{20}:\frac{1}{3}\)
\(x-1=\frac{3}{20}\)
\(x=\frac{3}{20}-1\)
\(x=-\frac{17}{20}\)
\(y\times3+\dfrac{y}{2}+\dfrac{y}{4}=1\dfrac{1}{2}\\ \Rightarrow y\times3+y\times\dfrac{1}{2}+y\times\dfrac{1}{4}=\dfrac{3}{2}\\ \Rightarrow y\times\left(3+\dfrac{1}{2}+\dfrac{1}{4}\right)=\dfrac{3}{2}\\ \Rightarrow y\times\dfrac{15}{4}=\dfrac{3}{2}\\ \Rightarrow y=\dfrac{3}{2}:\dfrac{15}{4}\\ \Rightarrow y=\dfrac{2}{5}\)
Ta có: \(\hept{\begin{cases}\left(\frac{1}{x}+y\right)+\left(\frac{1}{x}-y\right)=\frac{5}{8}\\\left(\frac{1}{x}+y\right)-\left(\frac{1}{x}-y\right)=-\frac{3}{8}\end{cases}\Leftrightarrow\hept{\begin{cases}\frac{2}{x}=\frac{5}{8}\\2y=-\frac{3}{8}\end{cases}\Leftrightarrow}\hept{\begin{cases}x=\frac{16}{5}\\y=-\frac{3}{16}\end{cases}}}\)
\(\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}:\frac{1}{5}\)
\(=\frac{2\times3\times4}{3\times4\times5}:\frac{1}{5}\)
\(=\frac{2}{5}:\frac{1}{5}\)
\(=\frac{2}{5}\times5\)
\(=2\)
Tìm X
\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{5}\right)\)
\(=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\)
\(=\frac{1}{5}\)
\(\Rightarrow x-100=\frac{1}{5}\)
\(x=\frac{1}{5}+100\)
\(x=\frac{1}{5}+\frac{500}{5}\)
\(x=\frac{501}{5}\)