\(\left(X-\frac{2}{5}\right)^2+\frac{39}{16}=3\)
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25 tháng 7 2017
\(=\frac{16}{5}.\frac{15}{16}-\left(\frac{3}{4}+\frac{2}{7}\right):\left(\frac{-29}{28}\right)\)
\(=3-\left(\frac{21}{28}+\frac{8}{28}\right):\left(\frac{-29}{28}\right)\)
\(=3-\left(\frac{29}{28}\right).\left(\frac{-28}{29}\right)\)
\(=3-\left(-1\right)\)
\(=4\)
b) \(=\left(\frac{1}{4}+\frac{25}{2}-\frac{5}{16}\right):\left(12-\frac{7}{12}:\left(\frac{3}{8}-\frac{1}{12}\right)\right)\)
\(=\left(\frac{4}{16}+\frac{200}{16}-\frac{5}{16}\right):\left(12-\frac{7}{12}:\left(\frac{3.3}{2.3.4}-\frac{2}{2.3.4}\right)\right)\)
\(=\left(\frac{199}{16}\right):\left(12-\frac{7}{12}:\left(\frac{9}{24}-\frac{2}{24}\right)\right)\)
\(=\frac{199}{16}:\left(12-\frac{7}{12}.\frac{24}{7}\right)\)
\(=\frac{199}{16}:\left(12-2\right)\)
\(=\frac{199}{16}:10\)
\(=\frac{199}{160}\)
c) \(\left(\frac{-3}{5}+\frac{5}{11}\right):\frac{-3}{7}+\left(\frac{-2}{5}+\frac{6}{5}\right):\frac{-3}{7}\)
\(\left(\frac{-33}{55}+\frac{25}{55}\right):\frac{-3}{7}+\left(\frac{4}{5}\right):\frac{-3}{7}\)
\(\left(\frac{-8}{55}\right).\frac{-7}{3}+\frac{4}{5}.\frac{-7}{3}\)
\(\frac{-7}{3}\left(\frac{-8}{55}+\frac{4}{5}\right)\)
\(\frac{-7}{3}.\frac{36}{55}=\frac{-84}{55}\)
11 tháng 10 2020
a, |x-7|=|9-234|
=> |x-7|=|-225|
=> |x-7|=225
=>\(\orbr{\begin{cases}x-7=225\\x-7=-225\end{cases}}\)=>\(\orbr{\begin{cases}x=232\\x=-218\end{cases}}\)
b, \(\left(\frac{x}{8}\right)^2+\frac{3}{16}=\frac{7}{16}\)
=>\(\left(\frac{x}{8}\right)^2=\frac{7}{16}-\frac{3}{16}\)
=>\(\left(\frac{x}{8}\right)^2=\frac{1}{4}\)
=>\(\left(\frac{x}{8}\right)^2=\left(\frac{1}{2}\right)^2\)
=>\(\orbr{\begin{cases}\frac{x}{8}=\frac{1}{2}\\\frac{x}{8}=\frac{-1}{2}\end{cases}}\)=>\(\orbr{\begin{cases}x.2=8\\x.2=-8\end{cases}}\)=>\(\orbr{\begin{cases}x=4\\x=-4\end{cases}}\)
c, (8-32)2+(x-39)2=10
=>(-1)2+(x-39)2=10
=>(x-39)2=10-1
=>(x-39)2=9
=>(x-39)2=32
=>\(\orbr{\begin{cases}x-39=3\\x-39=-3\end{cases}}\)=>\(\orbr{\begin{cases}x=42\\x=36\end{cases}}\)
11 tháng 10 2020
a)\(\left|x-7\right|=\left|9-234\right|\)
\(\Rightarrow\left|x-7\right|=\left|-225\right|\)
\(\Rightarrow\left|x-7\right|=225\)
\(\Rightarrow x-7=\pm225\)
- \(x-7=225\Rightarrow x=232\)
- \(x-7=-225\Rightarrow x=-218\)
Vậy \(x\in\left\{232;-218\right\}\)
b)\(\left(\frac{x}{8}\right)^2+\frac{3}{16}=\frac{7}{16}\)
\(\Rightarrow\left(\frac{x}{8}\right)^2=\frac{7}{16}-\frac{3}{16}\)
\(\Rightarrow\left(\frac{x}{8}\right)^2=\frac{4}{16}\)
\(\Rightarrow\left(\frac{x}{8}\right)^2=\frac{1}{4}\)
\(\Rightarrow\left(\frac{x}{8}\right)^2=\left(\pm\frac{1}{2}\right)^2\)
\(\Rightarrow\frac{x}{8}=\pm\frac{1}{2}\)
- \(\Rightarrow\frac{x}{8}=\frac{1}{2}\Rightarrow\frac{x}{8}=\frac{4}{8}\Rightarrow x=4\)
- \(\Rightarrow\frac{x}{8}=\frac{-1}{2}\Rightarrow\frac{x}{8}=\frac{-4}{8}\Rightarrow x=-4\)
Vậy \(x\in\left\{\pm4\right\}\)
c)\(\left(8-3^2\right)^2+\left(x-39\right)^2=10\)
\(\Rightarrow\left(8-9\right)^2+\left(x-39\right)^2=10\)
\(\Rightarrow\left(-1\right)^2+\left(x-39\right)^2=10\)
\(\Rightarrow1+\left(x-39\right)^2=10\)
\(\Rightarrow\left(x-39\right)^2=9\)
\(\Rightarrow\left(x-39\right)^2=\left(\pm3\right)^2\)
\(\Rightarrow x-39=\pm3\)
- \(\Rightarrow x-39=3\Rightarrow x=42\)
- \(\Rightarrow x-39=-3\Rightarrow x=36\)
Vậy \(x\in\left\{42;36\right\}\)
1 tháng 4 2018
a. 60%x + 0,4x + x : 3 = 2
0.6x + 0,4x + x : 3 = 2
x(0,6 + 0,4 : 3 ) = 2
\(x.\frac{1}{3}=2=>x=2:\frac{1}{3}=\frac{1}{6}\)
câu B tự làm nha .
1 tháng 2 2022
a: \(\Leftrightarrow\dfrac{1}{2}-\dfrac{7}{12}< x< \dfrac{1}{48}+\dfrac{5}{48}=\dfrac{6}{48}=\dfrac{1}{8}\)
\(\Leftrightarrow-\dfrac{1}{12}< x< \dfrac{1}{8}\)
=>x=0
c: \(\Leftrightarrow x=\dfrac{-1}{2}\cdot\dfrac{1}{4}=\dfrac{-1}{8}\)
d: \(\Leftrightarrow x^8=x^7\)
=>x(x-1)=0
=>x=0(loại) hoặc x=1(nhận)
e: \(\Leftrightarrow3^x=\dfrac{3^{10}}{3^9}=3\)
hay x=1
f: =>x-1=20
hay x=21
\(\left(x-\frac{2}{5}\right)^2+\frac{39}{16}=3\)
\(\Leftrightarrow\left(x-\frac{2}{5}\right)^2=\frac{9}{16}\)
\(\Leftrightarrow\orbr{\begin{cases}x-\frac{2}{5}=\frac{-3}{4}\\x-\frac{2}{5}=\frac{3}{4}\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{-7}{20}\\x=\frac{23}{20}\end{cases}}\)
Vậy \(x=\frac{-7}{20}\)hoặc \(x=\frac{23}{20}\)
\(\left(x-\frac{2}{5}\right)^2+\frac{39}{16}=3\)
\(\Leftrightarrow\left(x-\frac{2}{5}\right)\left(x-\frac{2}{5}\right)+\frac{39}{16}=3\)
\(\Leftrightarrow x^2-\frac{2}{5}x-\frac{2}{5}x+\frac{4}{25}+\frac{39}{16}=3\)
\(\Leftrightarrow x^2-\frac{4}{5}x-\frac{161}{400}=0\)
\(\Leftrightarrow\left(x-\frac{23}{20}\right)\left(x+\frac{7}{20}\right)=0\Leftrightarrow\orbr{\begin{cases}x=\frac{23}{20}\\x=-\frac{7}{20}\end{cases}}\)