a: \(9x^2+4y^2+4y-12x+5=0\)
=>\(9x^2-12x+4+4y^2+4y+1=0\)
=>\(\left(3x-2\right)^2+\left(2y+1\right)^2=0\)
=>\(\left\{{}\begin{matrix}3x-2=0\\2y+1=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{2}{3}\\y=-\dfrac{1}{2}\end{matrix}\right.\)
c: \(x^2+y^2+10=2\left(x-3y\right)\)
=>\(x^2-2x+1+y^2+6y+9=0\)
=>\(\left(x-1\right)^2+\left(y+3\right)^2=0\)
=>\(\left\{{}\begin{matrix}x-1=0\\y+3=0\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x=1\\y=-3\end{matrix}\right.\)
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