ĐKXĐ: ...
\(\Leftrightarrow\left(a-2\sqrt{a}+1\right)+\left(b-3-2\sqrt{b-3}+1\right)+\left(c-2\sqrt{c}+1\right)=0\)
\(\Leftrightarrow\left(\sqrt{a}-1\right)^2+\left(\sqrt{b-3}-1\right)^2+\left(\sqrt{c}-1\right)^2=0\)
\(\Rightarrow\left\{{}\begin{matrix}\sqrt{a}-1=0\\\sqrt{b-3}-1=0\\\sqrt{c}-1=0\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}a=1\\b=4\\c=1\end{matrix}\right.\)