Gọi tọa độ C là \(C\left(c;0\right)\) \(\Rightarrow\left\{{}\begin{matrix}\overrightarrow{AC}=\left(c-3;-1\right)\\\overrightarrow{BC}=\left(c+5;-2\right)\end{matrix}\right.\)
\(AC=BC\Leftrightarrow\left(c-3\right)^2+1=\left(c+5\right)^2+4\)
\(\Leftrightarrow c^2-6c+10=c^2+10c+29\)
\(\Leftrightarrow16c=-19\Rightarrow c=-\frac{19}{16}\)
\(\Rightarrow C\left(-\frac{19}{16};0\right)\)