Tìm x biết 1 phần 3 + 2 phần 5 nhân (x + 1) = 1
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\(\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{x\left(x+2\right)}=\frac{11}{75}\)
\(\Leftrightarrow\frac{1}{2}\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{x}-\frac{1}{x+2}\right)=\frac{11}{75}\)
\(\Leftrightarrow\frac{1}{3}-\frac{1}{x+2}=\frac{11}{75}:\frac{1}{2}=\frac{22}{75}\Leftrightarrow\frac{1}{x+2}=\frac{1}{25}\Leftrightarrow x=23\)
Bài làm
\(\frac{1}{2}.\frac{x+3}{5}.\left(x-2\right)=3\)
Bài làm
xl, vừa r bấm nhầm.
\(\frac{1}{2}.\frac{x+3}{5}.\left(x-2\right)=3\)
\(\frac{x+3}{10}.\left(x-2\right)=3\)
\(\frac{x^2-2x+3x-6}{10}=3\)
\(x^2-2x+3x-6=3.10\)
\(x^2+x-6=30\)
\(x^2+x-36=0\)
Đề như thế này đúng ko?: \(3\frac{1}{3}:2\frac{1}{2}< x< 7\frac{2}{3}.\frac{3}{7}+\frac{5}{2}\)
5 . y . \(\frac{1}{2}\). x3y(\(\frac{-1}{3}\).x2.y)3= \(\frac{5}{2}\)x3y2 \(\frac{-1}{27}\) x6y3= \(\frac{-5}{54}\)x9y5
Hệ số \(\frac{-5}{54}\)
Phần biến : x9y5
Bậc : 14
Chúc bạn học tốt !!!
(\(x\) + \(\dfrac{1}{2}\))2 = \(\dfrac{1}{16}\)
\(\left[{}\begin{matrix}x+\dfrac{1}{2}=-\dfrac{1}{4}\\x+\dfrac{1}{2}=\dfrac{1}{4}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-\dfrac{1}{4}-\dfrac{1}{2}\\x=\dfrac{1}{4}-\dfrac{1}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-\dfrac{3}{4}\\x=-\dfrac{1}{4}\end{matrix}\right.\)
Vậy \(x\) \(\in\) {- \(\dfrac{3}{4};-\dfrac{1}{4}\)}
\(x\) : (- \(\dfrac{1}{3}\))3 = - \(\dfrac{1}{3}\)
\(x\) = (-\(\dfrac{1}{3}\)).(-\(\dfrac{1}{3}\))3
\(x\) = \(\dfrac{1}{81}\)
Vậy \(x=\dfrac{1}{81}\)
\(\frac{1}{3}+\frac{2}{5}\left(x+1\right)=1\)
\(\Leftrightarrow\frac{2}{5}\left(x+1\right)=\frac{2}{3}\)
\(\Leftrightarrow x+1=\frac{5}{3}\)
\(\Leftrightarrow x=\frac{2}{3}\)
\(\frac{1}{3}+\frac{2}{5}.\left(x+1\right)=1\)
\(\frac{2}{5}.\left(x+1\right)=1-\frac{1}{3}\)
\(\frac{2}{5}.\left(x+1\right)=\frac{2}{3}\)
\(x+1=\frac{2}{3}:\frac{2}{5}\)
\(x+1=\frac{5}{3}\)
\(x=\frac{5}{3}-1\)
\(x=\frac{2}{3}\)