tim x
7/4 / x -1/2= 5/3
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a)15/8+3/4-5/12
=45+18-10/24
=53/24
b)11/24.12/33+5/6
=11.12/12.2.11.3+5/6
=1/6+5/6
=6/6=1
c)15/8+7/24:5/8
=15/8+7/24.8/5
=15/8+7.8/3.8.5
=15/8+7/15
=đề sai, nếu đúng thì như này
=8/15+7/15
=15/15=1
\(A=\frac{4}{1.3.5}+\frac{4}{3.5.7}=\frac{4}{15}+\frac{4}{105}=\frac{28}{105}+\frac{4}{105}=\frac{32}{105}\)
Chừng nào phép tính dài hơn thì mới dùng công thức nha
\(\dfrac{2\cdot3\cdot8}{4\cdot5\cdot6\cdot7}=\dfrac{1}{2}\cdot\dfrac{1}{2}\cdot\dfrac{8}{35}=\dfrac{2}{35}\)
1.
ĐK: \(x\ne3;x\ne-2\)
\(\dfrac{5}{x-3}+\dfrac{3}{x+2}\le\dfrac{3+2x}{x^2-x-6}\)
\(\Leftrightarrow\dfrac{5\left(x+2\right)+3\left(x-3\right)}{x^2-x-6}\le\dfrac{3+2x}{x^2-x-6}\)
\(\Leftrightarrow\dfrac{8x+1-3-2x}{x^2-x-6}\le0\)
\(\Leftrightarrow\dfrac{6x-2}{x^2-x-6}\le0\)
\(\Leftrightarrow\left\{{}\begin{matrix}6x-2\ge0\\x^2-x-6< 0\end{matrix}\right.\) hoặc \(\left\{{}\begin{matrix}6x-2\le0\\x^2-x-6>0\end{matrix}\right.\)
TH1: \(\left\{{}\begin{matrix}6x-2\ge0\\x^2-x-6< 0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\ge\dfrac{1}{3}\\-2< x< 3\end{matrix}\right.\Leftrightarrow\dfrac{1}{3}\le x< 3\)
TH2: \(\left\{{}\begin{matrix}6x-2\le0\\x^2-x-6>0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\le\dfrac{1}{3}\\\left[{}\begin{matrix}x>3\\x< -2\end{matrix}\right.\end{matrix}\right.\Leftrightarrow x< -2\)
Vậy ...
2.
ĐK: \(x\ne\pm2\)
\(\dfrac{1}{x^2-4}+\dfrac{2}{x+2}>-\dfrac{3}{x-2}\)
\(\Leftrightarrow\dfrac{1}{x^2-4}+\dfrac{2\left(x-2\right)+3\left(x+2\right)}{x^2-4}>0\)
\(\Leftrightarrow\dfrac{5x+3}{x^2-4}>0\)
\(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}5x+3>0\\x^2-4>0\end{matrix}\right.\\\left\{{}\begin{matrix}5x+3< 0\\x^2-4< 0\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}-\dfrac{3}{5}< x< 2\\x< -2\end{matrix}\right.\)
Vậy ...
\(x\div\dfrac{2}{3}+\dfrac{4}{5}=\dfrac{8}{7}\times\dfrac{7}{10}\)
\(x\div\dfrac{2}{3}+\dfrac{4}{5}=\dfrac{4}{5}\)
\(x\div\dfrac{2}{3}=0\)
\(x=0\)
\(x\div\dfrac{2}{3}+\dfrac{4}{5}=\dfrac{8}{7}\cdot\dfrac{7}{10}\)
\(x\cdot\dfrac{3}{2}+\dfrac{4}{5}=\dfrac{4}{5}\)
\(x\cdot\dfrac{3}{2}=\dfrac{4}{5}-\dfrac{4}{5}=0\)
\(x=0\div\dfrac{3}{2}=0\)
Vậy x = 0
a. 59 + 296
= ( 59 + 1 ) + 295
= 60 + 295
= 355
b) 592 + 48
= ( 592 + 8 ) + 40
= 600 + 40
= 640
Các câu sau tương tự
`!`
`(-3/4 + 5/13) xx 7/2 - (9/4 - 8/13 ) xx 7/2`
\(=\left[\left(-\dfrac{3}{4}+\dfrac{5}{13}\right)-\left(\dfrac{9}{4}-\dfrac{8}{13}\right)\right]\times\dfrac{7}{2}\\ =\left(-\dfrac{3}{4}+\dfrac{5}{13}-\dfrac{9}{4}+\dfrac{8}{13}\right)\times\dfrac{7}{2}\\ =\left[\left(-\dfrac{3}{4}-\dfrac{9}{4}\right)+\left(\dfrac{5}{13}+\dfrac{8}{13}\right)\right]\times\dfrac{7}{2}\\ =\left(-\dfrac{12}{4}+\dfrac{13}{13}\right)\times\dfrac{7}{2}\\ =\left(-3+1\right)\times\dfrac{7}{2}\\ =-2\times\dfrac{7}{2}\\ =-\dfrac{14}{2}\\ =-7\)
7/4:x-1/2=5/3
x-1/2=7/4:5/3
x-1/2=21/20
x=21/20+1/2
x=31/20