Bạn tự tìm ĐKXĐ.
a/ \(\sqrt{4-5x}=12\Rightarrow4-5x=144\Rightarrow x=-28\)
b/ \(10+\sqrt{3x}=\left(2+\sqrt{6}\right)^2=10+4\sqrt{6}\)
\(\Rightarrow\sqrt{3x}=4\sqrt{6}\Rightarrow\sqrt{x}=4\sqrt{2}\)
\(\Rightarrow x=32\)
c/ \(2\sqrt{x+5}-3\sqrt{x+5}+4\sqrt{x+5}=6\)
\(\Leftrightarrow3\sqrt{x+5}=6\)
\(\Rightarrow\sqrt{x+5}=2\Rightarrow x+5=4\Rightarrow x=-1\)
d/ \(\sqrt{\left(x-3\right)\left(x+3\right)}-3\sqrt{x-3}=0\)
\(\Rightarrow\sqrt{x-3}\left(\sqrt{x+3}-3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}\sqrt{x-3}=0\\\sqrt{x+3}=3\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=3\\x=6\end{matrix}\right.\)
e/ \(\sqrt{\frac{4x+3}{x+1}}=3\Leftrightarrow\frac{4x+3}{x+1}=9\)
\(\Rightarrow4x+3=9x+9\Rightarrow5x=-6\Rightarrow x=-\frac{6}{5}\)
f/ \(\sqrt{x-2}\le3\Rightarrow x-2\le9\Rightarrow2\le x\le11\)