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\(8.\sqrt{x} -3\sqrt{\dfrac{4}{81}}= 5,2 \)
\(8.\sqrt{x} - 3. \dfrac{2}{9}=5,2\)
\(8.\sqrt{x} - \dfrac{2}{3}= 5,2\)
\(8.\sqrt{x}= 5,2+ \dfrac{2}{3}\)
\(8.\sqrt{x}= \dfrac{88}{15}\)
\(\sqrt{x}= \dfrac{88}{15}: 8\)
\(\sqrt{x}= \dfrac{11}{15}\)
\(\sqrt{x}= \sqrt{ {\dfrac{121}{225}}}\)
\(\Rightarrow x= \dfrac{121}{225}\)
Chúc bạn học tốt
\(x+12-\sqrt{81}\)\(=81\)
\(x+12-9=81\)
\(x+3=81\)
\(x=81-3\)
\(x=78\)
Vậy \(x=78\)
a)\(8\sqrt{x}-3\sqrt{\frac{4}{81}}=5,2\)
\(\Rightarrow8\sqrt{x}-3.\frac{2}{9}=5,2\)
\(\Rightarrow8\sqrt{x}-\frac{2}{3}=5,2\)
\(\Rightarrow8\sqrt{x}=5,2+\frac{2}{3}\)
\(\Rightarrow8\sqrt{x}=\frac{40}{3}\)
\(\Rightarrow\sqrt{x}=\frac{40}{3}:8\)
\(\Rightarrow\sqrt{x}=\frac{5}{3}\)
\(\Rightarrow x=\frac{25}{9}\)
b)\(12-3x^2=10+\sqrt{\frac{25}{16}}\)
\(\Rightarrow12-3x^2=10+\frac{5}{4}\)
\(\Rightarrow12-3x^2=11,25\)
\(\Rightarrow3x^2=12-11,25\)
\(\Rightarrow3x^2=0,75\)
\(\Rightarrow x^2=0,25\)
\(\Rightarrow x=\sqrt{0,25}\)
\(\Rightarrow x=0,5\)
Bai 1
a) \(\sqrt{0,36}+\sqrt{0,49}=0,6+0,7=1,3\)
b) \(\sqrt{\frac{4}{9}}-\sqrt{\frac{25}{36}}=\frac{2}{3}-\frac{5}{6}\)
=\(-\frac{1}{6}\)
Bài 2
a)\(x^2=81\Rightarrow\left[{}\begin{matrix}x=9\\x=-9\end{matrix}\right.\)
b) \(\left(x-1\right)^2=\frac{9}{16}\)
\(\Rightarrow\left[{}\begin{matrix}x-1=\frac{3}{4}\\x-1=\frac{-3}{4}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{7}{4}\\x=\frac{1}{4}\end{matrix}\right.\)
c) \(x-2\sqrt{x}=0\Rightarrow\sqrt{x}\left(\sqrt{x}-2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}\sqrt{x}=0\\\sqrt{x}-2=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=4\end{matrix}\right.\)
d) \(x=\sqrt{x}\Rightarrow x-\sqrt{x}=0\Rightarrow\sqrt{x}\left(\sqrt{x}-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}\sqrt{x}=0\\\sqrt{x}-1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
\(\sqrt{81^{\frac{1}{2}}}=\sqrt[4]{x}\)<=> \(81^{\frac{1}{4}}=x^{\frac{1}{4}}\)
\(\sqrt{\sqrt{81}}=\sqrt[4]{x}\)
\(\Rightarrow81=\sqrt{x}\)(Bình phương 2 vế)
\(\Rightarrow x=9\)