X x 3\(\frac{1}{5}\)- \(\frac{7}{9}\)= 2\(\frac{1}{3}\)
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3 tháng 12 2017
a, (x-15):5+22=24
( x - 15 ) : 5 = 2
x-15 = 10
x = 25
9 tháng 8 2017
A) \(\frac{1}{2}\cdot\left(\frac{2}{9}+\frac{3}{7}-\frac{5}{27}\right)\)
\(=\frac{1}{2}\cdot\frac{1}{2}\)
\(=\frac{1}{4}\)
B) \(\left(\frac{-5}{28}+1.75+\frac{8}{35}\right):\left(-3\frac{9}{20}\right)\)
\(=\left(\frac{-5}{28}+\frac{7}{4}+\frac{8}{35}\right):\frac{-69}{20}\)
\(=\frac{14}{5}:\frac{-69}{20}\)
\(=\frac{-56}{69}\)
19 tháng 7 2021
c) Ta có: \(\left\{{}\begin{matrix}\dfrac{x+2}{x+1}+\dfrac{2}{y-2}=6\\\dfrac{5}{x+1}-\dfrac{1}{y-2}=3\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{1}{x+1}+\dfrac{2}{y-2}=5\\\dfrac{5}{x+1}-\dfrac{1}{y-2}=3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{5}{x+1}+\dfrac{10}{y-2}=25\\\dfrac{5}{x+1}-\dfrac{1}{y-2}=3\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{11}{y-2}=22\\\dfrac{1}{x+1}+\dfrac{2}{y-2}=5\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y-2=\dfrac{1}{2}\\\dfrac{1}{x+1}=1\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x+1=1\\y-2=\dfrac{1}{2}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\y=\dfrac{5}{2}\end{matrix}\right.\)
NC
13 tháng 8 2020
Bài làm:
đkxđ: \(x\ne4;x\ne9\)
Ta có:
\(P=\frac{2\sqrt{x}}{x-5\sqrt{x}+6}-\frac{\sqrt{x}+3}{\sqrt{x}-2}-\frac{2\sqrt{x}+1}{3-\sqrt{x}}\)
\(P=\frac{2\sqrt{x}}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}-\frac{\sqrt{x}+3}{\sqrt{x}-2}+\frac{2\sqrt{x}+1}{\sqrt{x}-3}\)
\(P=\frac{2\sqrt{x}-\left(\sqrt{x}+3\right)\left(\sqrt{x}-3\right)+\left(2\sqrt{x}+1\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}\)
\(P=\frac{2\sqrt{x}-x+9+2x-3\sqrt{x}-2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}\)
\(P=\frac{x-\sqrt{x}+7}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}\)
NN
13 tháng 8 2020
\(ĐKXĐ:4< x< 9\)
\(P=\frac{2\sqrt{x}-9}{x-5\sqrt{x}+6}-\frac{\sqrt{x}+3}{\sqrt{x}-2}-\frac{2\sqrt{x}+1}{3-\sqrt{x}}\)
\(=\frac{2\sqrt{x}-9}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}-\frac{\sqrt{x}+3}{\sqrt{x}-2}+\frac{2\sqrt{x}+1}{\sqrt{x}-3}\)
\(=\frac{2\sqrt{x}-9}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}-\frac{\left(\sqrt{x}+3\right)\left(\sqrt{x}-3\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}+\frac{\left(2\sqrt{x}+1\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}\)
\(=\frac{\left(2\sqrt{x}-9\right)-\left(\sqrt{x}+3\right)\left(\sqrt{x}-3\right)+\left(2\sqrt{x}+1\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}\)
\(=\frac{2\sqrt{x}-9-x+9+2x-3\sqrt{x}-2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}=\frac{x-\sqrt{x}-2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}\)
\(=\frac{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}=\frac{\sqrt{x}+1}{\sqrt{x}-3}\)
25 tháng 8 2019
\(\Leftrightarrow\left(\frac{3}{4}x-\frac{9}{16}\right)\left(\frac{1}{3}-\frac{3}{5}.\frac{1}{x}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{3}{4}x-\frac{9}{16}=0\\\frac{1}{3}-\frac{3}{5}.\frac{1}{x}=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{3}{4}\\x=\frac{9}{5}\end{cases}}\)
Vậy \(x\in\left\{\frac{3}{4};\frac{9}{5}\right\}\)
NC
6 tháng 8 2020
Ta có: \(B=\frac{\sqrt{\frac{1}{9}}-3}{\sqrt{\frac{1}{9}}-1}\)
\(B=\frac{\frac{1}{3}-3}{\frac{1}{3}-1}\)
\(B=\frac{-\frac{8}{3}}{-\frac{2}{3}}=4\)
NC
6 tháng 8 2020
đkxđ: \(\hept{\begin{cases}x\ne1\\x\ne25\end{cases}}\)
Ta có:
\(A=\frac{x-21}{x-6\sqrt{x}+5}+\frac{1}{\sqrt{x}-1}+\frac{1}{5-\sqrt{x}}\)
\(A=\frac{x-21}{\left(\sqrt{x}-1\right)\left(\sqrt{x}-5\right)}+\frac{1}{\sqrt{x}-1}-\frac{1}{\sqrt{x}-5}\)
\(A=\frac{x-21+\sqrt{x}-5-\sqrt{x}+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}-5\right)}\)
\(A=\frac{x-25}{\left(\sqrt{x}-1\right)\left(\sqrt{x}-5\right)}\)
\(A=\frac{\left(\sqrt{x}-5\right)\left(\sqrt{x}+5\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}-5\right)}\)
\(A=\frac{\sqrt{x}+5}{\sqrt{x}-1}\)
X×3 1/5-7/9= 2 1/3
X×16/5-7/9=7/3
X×16/5=7/3+7/9
X×16/5=28/9
X=28/9:16/5
X=35/36
X x 31/5-7/9=2 1/3 X x 16/5-7/9=7/3 X x 16/5 =7/3+7/9 X x 16/5 =28/9 X =28/9:16/5
X =35/36 Vay X=35/36