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\(\frac{\sqrt{49}}{6}< \left|x-\frac{2}{3}\right|< \frac{26}{\sqrt{81}}\)
\(\Rightarrow\frac{7}{6}< \left|x-\frac{2}{3}\right|< \frac{26}{9}\)
\(\Rightarrow\frac{21}{18}< \left|x-\frac{12}{18}\right|< \frac{52}{18}\)
còn lại cậu tự tính nha
\(\frac{\sqrt{49}}{6}< \left|x-\frac{2}{3}\right|< \frac{26}{\sqrt{81}}\)
\(\frac{7}{6}< x-\frac{2}{3}< \frac{26}{9}\)
\(\frac{11}{6}< x< \frac{32}{9}\)
a, \(\frac{3}{4}-x=\frac{1}{2}\Leftrightarrow x=\frac{3}{4}-\frac{1}{2}=\frac{1}{4}\)Vậy \(x=\frac{1}{4}\)
b, \(\left|x+\frac{2}{3}\right|=\frac{5}{6}\)
TH1 : \(x+\frac{2}{3}=\frac{5}{6}\Leftrightarrow x=\frac{5}{6}-\frac{2}{3}=\frac{1}{6}\)
TH2 : \(x+\frac{2}{3}=-\frac{5}{6}\Leftrightarrow x=-\frac{5}{6}-\frac{2}{3}=\frac{-9}{6}=\frac{-3}{2}\)
Vậy \(x=\left\{\frac{1}{6};-\frac{3}{2}\right\}\)
a,\(\frac{3}{4}-x=\frac{1}{2}\)
\(\Leftrightarrow x=\frac{3}{4}-\frac{1}{2}\)
\(\Leftrightarrow x=\frac{1}{4}\)
b,\(\left|x+\frac{2}{3}\right|=\frac{5}{6}\)
\(\Leftrightarrow x+\frac{2}{3}=\pm\frac{5}{6}\)
TH1:\(x+\frac{2}{3}=\frac{5}{6}\)
\(\Leftrightarrow x=\frac{5}{6}-\frac{2}{3}\)
\(\Leftrightarrow x=\frac{1}{6}\)
TH2:\(x+\frac{2}{3}=-\frac{5}{6}\)
\(\Leftrightarrow x=-\frac{5}{6}-\frac{2}{3}\)
\(\Leftrightarrow x=-\frac{3}{2}\)
Xét \(\frac{1}{\sqrt{13}}>\frac{1}{\sqrt{14}}\Rightarrow\frac{1}{\sqrt{13}}-1< \frac{1}{\sqrt{14}}+1\)
Mà \(\sqrt{225}< \sqrt{289}\)
\(\Rightarrow\sqrt{225}-\left(\frac{1}{\sqrt{13}}-1\right)< \sqrt{289}-\left(\frac{1}{\sqrt{14}}+1\right)\)
Vậy....................
a) \(C=3\cdot\sqrt{25}-3\cdot\sqrt{\frac{1}{9}}\)
\(C=3\cdot5-3\cdot\frac{1}{3}\)
\(C=15-1=14\)
b) \(D=-4\sqrt{\frac{4}{25}}+3\sqrt{0,16}-2\sqrt{0,04}\)
\(D=-4\cdot\frac{2}{5}+3\cdot\frac{2}{5}-2\cdot\frac{1}{5}\)
\(D=\frac{1}{5}\cdot\left(-8+6-2\right)\)
\(D=\frac{1}{5}\cdot\left(-4\right)=-\frac{4}{5}\)
\(\sqrt{\frac{1}{9}+\frac{1}{16}}\)
\(=\frac{1}{3}+\frac{1}{4}\)
\(=\frac{7}{12}\)
a)Với x>=0
\(\frac{5}{11}\sqrt{x}=\frac{1}{6}+\frac{1}{3}=\frac{1}{2}\)
\(\sqrt{x}=\frac{1}{2}:\frac{5}{11}=\frac{11}{10}\)
\(x=\frac{11^2}{10^2}=\frac{121}{100}\)(thỏa mãn)
b) x=0
c) \(x=\pm\sqrt{3}\)vì x<0 => \(x=-\sqrt{3}\)
d) x=1 hoặc -1
e) \(x=\pm\sqrt{2}\)
\(a,\frac{5}{11}\sqrt{x}-\frac{1}{3}=\frac{1}{6}.\)
\(\frac{5}{11}\sqrt{x}=\frac{1}{6}+\frac{1}{3}\)
\(\frac{5}{11}\sqrt{x}=\frac{1}{2}\)
\(\sqrt{x}=\frac{1}{2}:\frac{5}{11}\)
\(\sqrt{x}=\frac{11}{10}\)
\(\Rightarrow x=\frac{121}{100}\)
\(b.x^2=0\)
\(\Leftrightarrow x=0\)
\(c.x^2=3\left(x< 0\right)\)
\(\Leftrightarrow x=-\sqrt{3}\)
\(d.x^2=1\)
\(\Leftrightarrow\orbr{\begin{cases}x=1\\x=-1\end{cases}}\)
\(e.x^2=2\)
\(\Leftrightarrow x=\sqrt{2}\)
bình phương lên
x=1/9
x= (1/3)^2
x=1/9