Giải:
\(\sqrt{25x+75}+3\sqrt{x-2}=2+4\sqrt{x+3}+\sqrt{9x-18}\)
\(\Leftrightarrow5\sqrt{x+3}+3\sqrt{x-2}=2+4\sqrt{x+3}+3\sqrt{x-2}\)
\(\Leftrightarrow5\sqrt{x+3}=2+4\sqrt{x+3}\)
\(\Leftrightarrow\sqrt{x+3}=2\)
\(\Leftrightarrow x+3=4\)
\(\Leftrightarrow x=1\)
Vậy ...
Giải:
\(\sqrt{25x+75}+3\sqrt{x-2}=2+4\sqrt{x+3}+\sqrt{9x-18}\)
\(\Leftrightarrow6\sqrt{x+3}+3\sqrt{x-2}=2+4\sqrt{x+3}+3\sqrt{x-2}\)
\(\Leftrightarrow6\sqrt{x+3}=2+4\sqrt{x+3}\)
\(\Leftrightarrow2\sqrt{x+3}=2\)
\(\Leftrightarrow\sqrt{x+3}=1\)
\(\Leftrightarrow x+3=1\)
\(\Leftrightarrow x=-2\)
Vậy ...